100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In

scientific notation Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, o ...

, it is written as 10⁵.

Terms for 100,000

In India, Pakistan and South Asia, one hundred thousand is called a

lakh A lakh (; abbreviated L; sometimes written lac) is a unit in the Indian numbering system equal to one hundred thousand (100,000; scientific notation: 105). In the Indian 2,2,3 convention of digit grouping, it is written as 1,00,000. For ...

, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: , , (all ''saen''), and respectively. The Malagasy word is . In

Cyrillic numerals Cyrillic numerals are a numeral system derived from the Cyrillic script, developed in the First Bulgarian Empire in the late 10th century. It was used in the First Bulgarian Empire and by South and East Slavic peoples. The system was used in R ...

, it is known as the legion (): Legion-1000000-Cyrillic

Values of 100,000

astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, galax ...

, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the

altitude Altitude or height (also sometimes known as depth) is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The exact definition and reference datum varies according to the context ...

at which the Fédération Aéronautique Internationale (FAI) defines

spaceflight Spaceflight (or space flight) is an application of astronautics to fly spacecraft into or through outer space, either with or without humans on board. Most spaceflight is uncrewed and conducted mainly with spacecraft such as satellites in ...

to begin. In the

Irish language Irish ( Standard Irish: ), also known as Gaelic, is a Goidelic language of the Insular Celtic branch of the Celtic language family, which is a part of the Indo-European language family. Irish is indigenous to the island of Ireland and wa ...

, () is a popular greeting meaning "a hundred thousand welcomes".

Selected 6-digit numbers (100,001–999,999)

100,001 to 199,999

* 100,003 = smallest 6-digit prime number * 100,128 = smallest

triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...

with 6 digits and the 447th triangular number * 100,151 = twin prime with 100,153 * 100,153 = twin prime with 100,151 * 100,255 =

Friedman number A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, pa ...

* 101,101 = smallest palindromic Carmichael number * 101,723 = smallest prime number whose square is a

pandigital number In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1234567890 (one billion two hundred thirty four million five hundred sixty seven th ...

containing each digit from 0 to 9 * 102,564 = The smallest parasitic number * 103,049 = little Schroeder number * 103,680 = highly totient number * 103,769 = the number of combinatorial types of 5-dimensional parallelohedra * 103,823 = 47³, nice Friedman number (−1 + 0 + 3×8×2)³ * 104,480 = number of non-isomorphic set-systems of weight 14. * 104,723 = the 9,999th prime number * 104,729 = the 10,000th prime number * 104,869 = the smallest prime number containing every non-prime digit * 104,976 = 18⁴, 3-smooth number * 105,071 = number of triangle-free graphs on 11 vertices * 105,664 =

harmonic divisor number In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor numbers are: : 1, 6, 28, ...

* 109,376 = 1-

automorphic number In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself. Definition and properties Given a number base b, a natu ...

* 110,880 =

highly composite number __FORCETOC__ A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smalle ...

* 111,111 =

repunit In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreat ...

* 111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English * 113,634 =

Motzkin number In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have ...

for ''n'' = 14 * 114,243/80,782 ≈ √2 * 114,689 = prime factor of '' F''₁₂ * 115,975 =

Bell number In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of eponym ...

* 116,281 = 341², square number,

centered decagonal number A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers. The centered decagonal number for ''n'' is given by the ...

, 18-gonal number * 117,067 = first vampire prime * 117,649 = 7⁶ * 117,800 = harmonic divisor number * 120,284 =

Keith number In number theory, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n in a given number base b with k digits such that when a sequence is created such that the first k terms are the k digits of n a ...

* 120,960 = highly totient number * 121,393 = Fibonacci number * 124,000 = number of Islamic prophets * 125,673 = logarithmic number * 127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English * 127,912 = Wedderburn–Etherington number * 128,981 = Starts the first

prime gap A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g'n'' or ''g''(''p'n'') is the difference between the (''n'' + 1)-th and the ''n''-th prime numbers, i.e. :g_n = p_ - p_n.\ W ...

sequence of 2, 4, 6, 8, 10, 12, 14 * 129,106 = Keith number * 130,321 = 19⁴ * 131,071 = Mersenne prime * 131,072 = 2¹⁷ * 131,361 = Leyland number * 134,340 =

Pluto Pluto (minor-planet designation: 134340 Pluto) is a dwarf planet in the Kuiper belt, a ring of bodies beyond the orbit of Neptune. It is the ninth-largest and tenth-most-massive known object to directly orbit the Sun. It is the largest k ...

's minor planet designation * 135,137 = Markov number * 142,129 = 377², square number, dodecagonal number * 142,857 =

Kaprekar number In mathematics, a natural number in a given number base is a p-Kaprekar number if the representation of its square in that base can be split into two parts, where the second part has p digits, that add up to the original number. The numbers are ...

, smallest

cyclic number A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are :142857 × 1 = 142857 :14 ...

in decimal. *

144,000 144,000 is a natural number. It has significance in various religious movements and ancient prophetic belief systems. Religion Christianity Book of Revelation The number 144,000 appears three times in the Book of Revelation: * Revelation 7:3–8 ...

= number with religious significance * 147,640 = Keith number * 148,149 = Kaprekar number * 152,381 =

unique prime The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. Like all rational numbers, the reciprocals of primes have repeating decimal represen ...

base 20 vigesimal () or base-20 (base-score) numeral system is based on twenty (in the same way in which the decimal numeral system is based on ten). ''Vigesimal'' is derived from the Latin adjective '' vicesimus'', meaning 'twentieth'. Places In a ...

* 156,146 = Keith number * 160,000 = 20⁴ * 161,051 = 11⁵ * 161,280 = highly totient number * 166,320 = highly composite number * 167,400 = harmonic divisor number * 167,894 = number of ways to partition and then partition each cell (block) into subcells. * 173,600 = harmonic divisor number * 174,680 = Keith number * 174,763 = Wagstaff prime * 177,147 = 3¹¹ * 177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English * 178,478 = Leyland number * 181,440 = highly totient number * 181,819 = Kaprekar number * 183,186 = Keith number * 183,231 = number of

partially ordered set In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set. A poset consists of a set together with a binary ...

with 9 unlabeled elements * 187,110 = Kaprekar number * 194,481 = 21⁴ * 195,025 = Pell number, Markov number * 196,418 = Fibonacci number, Markov number * 196,560 = the kissing number in 24 dimensions * 196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group * 196,884 = the coefficient of ''q'' in the

Fourier series A Fourier series () is a summation of harmonically related sinusoidal functions, also known as components or harmonics. The result of the summation is a periodic function whose functional form is determined by the choices of cycle length (or ''p ...

expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine. * 199,999 = prime number.

200,000 to 299,999

* 202,717 = k such that the sum of the squares of the first k primes is divisible by k. * 206,098 – Large Schröder number * 206,265 = rounded number of arc seconds in a radian (see also

parsec The parsec (symbol: pc) is a unit of length used to measure the large distances to astronomical objects outside the Solar System, approximately equal to or (au), i.e. . The parsec unit is obtained by the use of parallax and trigonometry, a ...

), since = 206,264.806... * 207,360 = highly totient number * 208,012 = the

Catalan number In combinatorial mathematics, the Catalan numbers are a sequence of natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''t ...

''C''₁₂ * 208,335 = the largest number to be both

triangular A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear ...

and

square pyramidal In molecular geometry, square pyramidal geometry describes the shape of certain compounds with the formula where L is a ligand. If the ligand atoms were connected, the resulting shape would be that of a pyramid with a square base. The point ...

* 208,495 = Kaprekar number * 212,159 = smallest unprimeable number ending in 1, 3, 7 or 9 * 221,760 = highly composite number * 222,222 = repdigit * 227,475 = Riordan number * 234,256 = 22⁴ * 237,510 = harmonic divisor number * 238,591 = number of free 13-ominoes * 241,920 = highly totient number * 242,060 = harmonic divisor number * 248,832 = 100,000₁₂, AKA a gross-great-gross (100₁₂ great-grosses);12⁵, the smallest fifth power that can be represented as the sum of only 6 fifth powers: 12⁵ = 4⁵ + 5⁵ + 6⁵ + 7⁵ + 9⁵ + 11⁵ * 262,144 = 2¹⁸;

exponential factorial The exponential factorial is a positive integer ''n'' raised to the power of ''n'' − 1, which in turn is raised to the power of ''n'' − 2, and so on and so forth in a right-grouping manner. That is, : n^ The expon ...

of 4; a superperfect number * 262,468 = Leyland number * 268,705 = Leyland number * 274,177 = prime factor of the Fermat number ''F''₆ * 275,807/195,025 ≈ √2 * 277,200 = highly composite number * 279,841 = 23⁴ * 279,936 = 6⁷ * 280,859 = a prime number whose square 78881777881 is tridigital * 293,547 = Wedderburn–Etherington number * 294,001 = smallest weakly prime number in base 10 * 294,685 = Markov number * 298,320 = Keith number

300,000 to 399,999

* 310,572 = Motzkin number * 317,811 = Fibonacci number * 318,682 = Kaprekar number * 325,878 = Fine number * 326,981 =

alternating factorial Alternating may refer to: Mathematics * Alternating algebra, an algebra in which odd-grade elements square to zero * Alternating form, a function formula in algebra * Alternating group, the group of even permutations of a finite set * Alterna ...

* 329,967 = Kaprekar number * 331,776 = 24⁴ * 332,640 = highly composite number; harmonic divisor number * 333,333 = repdigit * 333,667 = sexy prime and

* 333,673 = sexy prime with 333,679 * 333,679 = sexy prime with 333,673 * 337,500 = 2² × 3³ × 5⁵ * 351,351 = only known odd

abundant number In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The ...

that is not the sum of some of its proper, nontrivial (i.e. >1) divisors . * 351,352 = Kaprekar number * 355,419 = Keith number * 356,643 = Kaprekar number * 360,360 = harmonic divisor number; the smallest number divisible by all of the numbers 1 through 15 * 362,880 = 9!, highly totient number * 370,261 = first prime followed by a

of over 100 * 371,293 = 13⁵, palindromic in base 12 (15AA51₁₂) * 389,305 = self-descriptive number in base 7 * 390,313 = Kaprekar number * 390,625 = 5⁸ * 397,585 = Leyland number

400,000 to 499,999

* 409,113 = sum of the first nine

factorial In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) ...

s * 422,481 = smallest number whose fourth power is the sum of three smaller fourth powers * 423,393 = Leyland number * 426,389 = Markov number * 426,569 = cyclic number in

base 12 The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead writ ...

* 437,760 to 440,319 = any of these numbers will cause the

Apple II+ The Apple II Plus (stylized as Apple ] or apple plus) is the second model of the Apple II series of personal computers produced by Apple Computer. It was sold from June 1979 to December 1982. Approximately 380,000 II Pluses were sold during its ...

and

Apple IIe The Apple IIe (styled as Apple //e) is the third model in the Apple II series of personal computers produced by Apple Computer. The ''e'' in the name stands for ''enhanced'', referring to the fact that several popular features were now built-in ...

computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers. Entering ''440000'' at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded. * 444,444 = repdigit * 456,976 = 26⁴ * 461,539 = Kaprekar number * 466,830 = Kaprekar number * 470,832 = Pell number * 483,840 = highly totient number * 498,960 = highly composite number * 499,393 = Markov number * 499,500 = Kaprekar number

500,000 to 599,999

* 500,500 = Kaprekar number, sum of first 1,000 integers * 509,203 =

Riesel number In mathematics, a Riesel number is an odd natural number ''k'' for which k\times2^n-1 is composite for all natural numbers ''n'' . In other words, when ''k'' is a Riesel number, all members of the following set are composite: :\left\. If the fo ...

* 510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the highest such sequence of any length to be also a primorial. And it is a double

, the sum of all even numbers from 0 to 1428. * 514,229 =

Fibonacci prime A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime. The first Fibonacci primes are : : 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, .... Known Fibonacci primes It is not known whet ...

, Markov prime * 518,859 = little Schroeder number * 524,287 = Mersenne prime * 524,288 = 2¹⁹ * 524,649 = Leyland number * 525,600 = minutes in a non-leap year * 527,040 = minutes in a leap year * 531,441 = 3¹² * 533,169 = Leyland number * 533,170 = Kaprekar number * 537,824 = 14⁵ * 539,400 = harmonic divisor number * 548,834 = equal to the sum of the sixth powers of its digits * 554,400 = highly composite number * 555,555 = repdigit * 599,999 = prime number.

600,000 to 699,999

* 604,800 = number of seconds in a week * 614,656 = 28⁴ * 625,992 = Riordan number * 646,018 = Markov number * 664,579 = the amount of primes under 10,000,000 there are * 665,280 = highly composite number * 665,857/470,832 ≈ √2 * 666,666 = repdigit * 676,157 = Wedderburn–Etherington number * 678,570 = Bell number * 694,280 = Keith number * 695,520 = harmonic divisor number

700,000 to 799,999

* 700,001 = prime number. * 707,281 = 29⁴ * 720,720 =

superior highly composite number In mathematics, a superior highly composite number is a natural number which has the highest ratio of its number of divisors to ''some'' positive power of itself than any other number. It is a stronger restriction than that of a highly composite ...

; colossally abundant number; the smallest number divisible by all the numbers 1 through 16 * 725,760 = highly totient number * 726,180 = harmonic divisor number * 729,000 = 90³ * 739,397 = largest prime that is both right- and left- truncatable. * 742,900 = Catalan number * 753,480 = harmonic divisor number * 759,375 = 15⁵ * 765,623 = emirp,

Friedman prime A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, pa ...

5⁶ × 7² − 6 ÷ 3 * 777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name * 799,999 = prime number.

800,000 to 899,999

* 810,000 = 30⁴ * 823,543 = 7⁷ * 825,265 = smallest Carmichael number with 5 prime factors * 832,040 = Fibonacci number * 853,467 = Motzkin number * 857,375 = 95³ * 873,612 = 1¹ + 2² + 3³ + 4⁴ + 5⁵ + 6⁶ + 7⁷ * 888,888 = repdigit * 890,625 = 1-

900,000 to 999,999

* 900,001 = prime number * 901,971 = number of free 14-ominoes * 909,091 =

in base 10 * 923,521 = 31⁴ * 925,765 = Markov number * 925,993 =

* 950,976 =

* 967,680 = highly totient number * 998,001 = the reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998. * 998,991 = highest

with 6 digits and the 1,413th triangular number * 999,983 = largest 6-digit prime number * 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit

repetend A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if an ...

s when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, largest number in English not containing the letter 'l' in its name.

Prime numbers

Increments of 10⁵ from

zero 0 (zero) is a number representing an empty quantity. In place-value notation such as the Hindu–Arabic numeral system, 0 also serves as a placeholder numerical digit, which works by multiplying digits to the left of 0 by the radix, usuall ...

through a million have the following prime counts: *9,592 primes between 0 and 100,000. :99,991 is the largest prime number less than 100,000. *8,392 primes between 100,000 and 200,000. :This is a difference of 1,200 primes from the previous range. :104,729 is the 10,000th prime in this range. :199,999 is prime. *8,013 primes between 200,000 and 300,000. :A difference of

379 Year 379 ( CCCLXXIX) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Ausonius and Hermogenianus (or, less frequently, year 1132 ''Ab ...

primes from the previous range. :224,737 is the 20,000th prime. *7,863 primes between 300,000 and 400,000. :A difference of

150 150 may refer to: *150 (number), a natural number *AD 150, a year in the 2nd century AD *150 BC, a year in the 2nd century BC *150 Regiment RLC *Combined Task Force 150 See also * List of highways numbered 150 The following highways are numbered ...

primes from the previous range. :350,377 is the 30,000th prime. *7,678 primes between 400,000 and 500,000. :A difference of

185 Year 185 ( CLXXXV) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Lascivius and Atilius (or, less frequently, year 938 ''Ab urbe con ...

primes from the previous range. :Here, the difference increases by a count of 35. :479,909 is the 40,000th prime. * 7,560 primes between 500,000 and 600,000. :A difference of

118 118 may refer to: *118 (number) *AD 118 *118 BC *118 (TV series) *118 (film) *118 (Tees) Corps Engineer Regiment *118 (Tees) Field Squadron, Royal Engineers See also *11/8 (disambiguation) *Oganesson Oganesson is a synthetic chemical element wi ...

primes from the previous range. : 7,560 is the twentieth

. :599,999 is prime. *7,445 primes between 600,000 and 700,000. :A difference of 115 primes from the previous range. :611,953 is the 50,000th prime. *7,408 primes between 700,000 and 800,000. :A difference of 37 primes from the previous range. :700,001 and 799,999 are both prime. :746,773 is the 60,000th prime. *7,323 primes between 800,000 and 900,000. :A difference of 85 primes from the previous range. :Here, the difference increases by a count of 48. :882,377 is the 70,000th prime. *7,224 primes between 900,000 and 1,000,000. :A difference of 99 primes from the previous range. :The difference increases again, by a count of 14. :900,001 is prime. In total, there are 68,906 prime numbers between 100,000 and 1,000,000. :From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 10⁵, plus 1 (for each range).

Notes

References

{{DEFAULTSORT:100000 Integers