100,000 (one hundred thousand) is the

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 ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...

following 99,999 and preceding 100,001. In scientific notation, it is written as 10⁵.

Terms for 100,000

India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...

Pakistan Pakistan ( ur, ), officially the Islamic Republic of Pakistan ( ur, , label=none), is a country in South Asia. It is the world's fifth-most populous country, with a population of almost 243 million people, and has the world's second-lar ...

and

South Asia South Asia is the southern subregion of Asia, which is defined in both geographical Geography (from Greek: , ''geographia''. Combination of Greek words ‘Geo’ (The Earth) and ‘Graphien’ (to describe), literally "earth descr ...

, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and

Vietnamese Vietnamese may refer to: * Something of, from, or related to Vietnam, a country in Southeast Asia ** A citizen of Vietnam. See Demographics of Vietnam. * Vietnamese people, or Kinh people, a Southeast Asian ethnic group native to Vietnam ** Overse ...

languages also have separate words for this number: , , (all ''saen''), and respectively. The Malagasy word is . In Cyrillic numerals, it is known as the legion (): Legion-1000000-Cyrillic

Values of 100,000

In astronomy, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the altitude at which the Fédération Aéronautique Internationale (FAI) defines spaceflight 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 was ...

, () 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 i ...

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 A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Pana ...

Carmichael number In number theory, a Carmichael number is a composite number n, which in modular arithmetic satisfies the congruence relation: :b^n\equiv b\pmod for all integers b. The relation may also be expressed in the form: :b^\equiv 1\pmod. for all integers ...

* 101,723 = smallest

prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...

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 tho ...

containing each digit from 0 to 9 * 102,564 = The smallest

parasitic number An ''n''-parasitic number (in base 10) is a positive natural number which, when multiplied by ''n'', results in movement of the last digit of its decimal representation to its front. Here ''n'' is itself a single-digit positive natural number. In ...

* 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

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 * 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 natura ...

* 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 smaller ...

* 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 d ...

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 eponymy ...

* 116,281 = 341²,

square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The usu ...

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 th ...

, 18-gonal number * 117,067 = first vampire prime * 117,649 = 7⁶ * 117,800 = harmonic divisor number * 120,284 = Keith number * 120,960 = highly totient number * 121,393 =

Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...

* 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 In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th ...

* 131,072 = 2¹⁷ * 131,361 = Leyland number * 134,340 = Pluto's minor planet designation * 135,137 =

Markov number A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are : 1, 2, 5, 13, 29, 34, 89 ...

* 142,129 = 377²,

, 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 n ...

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

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 ...

* 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 with 9 unlabeled elements * 187,110 = Kaprekar number * 194,481 = 21⁴ * 195,025 =

Pell number In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...

, Markov number * 196,418 = Fibonacci number, Markov number * 196,560 = the

kissing number In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere. For a given sphere packing (arrangement o ...

in 24 dimensions * 196,883 = the dimension of the smallest nontrivial irreducible representation of the

Monster group In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order 24632059761121331719232931414759 ...

* 196,884 = the coefficient of ''q'' in the Fourier series expansion of the

j-invariant In mathematics, Felix Klein's -invariant or function, regarded as a function of a complex variable , is a modular function of weight zero for defined on the upper half-plane of complex numbers. It is the unique such function which is hol ...

. The adjacency of 196883 and 196884 was important in suggesting

monstrous moonshine In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group ''M'' and modular functions, in particular, the ''j'' function. The term was coined by John Conway and Simon P. Norton in 1979. ...

. * 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 The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. The unit was formerly an SI supplementary unit (before tha ...

(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, an ...

), 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 numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Ca ...

''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- collinea ...

and

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

* 208,495 = Kaprekar number * 212,159 = smallest unprimeable number ending in 1, 3, 7 or 9 * 221,760 = highly composite number * 222,222 =

repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit. Example ...

* 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 of 4; a superperfect number * 262,468 = Leyland number * 268,705 = Leyland number * 274,177 = prime factor of the

Fermat number In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form :F_ = 2^ + 1, where ''n'' is a non-negative integer. The first few Fermat numbers are: : 3, 5, 17, 257, 65537, 42949672 ...

''F''₆ * 275,807/195,025 ≈ √2 * 277,200 = highly composite number * 279,841 = 23⁴ * 279,936 = 6⁷ * 280,859 = a

whose

square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...

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

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 mathematics, a self-descriptive number is an integer ''m'' that in a given base ''b'' is ''b'' digits long in which each digit ''d'' at position ''n'' (the most significant digit being at position 0 and the least significant at position ''b'' ...

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 factorials * 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 wr ...

* 437,760 to 440,319 = any of these numbers will cause the Apple II+ 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 * 510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive

s—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, 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; 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 An emirp (''prime'' spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed. This definition excludes the related palindromic primes. The term ''reversible prime'' is used to mean the same as e ...

, Friedman prime 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

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 = unique prime in base 10 * 923,521 = 31⁴ * 925,765 =

* 925,993 = Keith number * 950,976 = harmonic divisor number * 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 repetends 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, usual ...

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 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 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 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 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

115 115 may refer to: * 115 (number), the number * AD 115, a year in the 2nd century AD * 115 BC, a year in the 2nd century BC * 115 (Hampshire Fortress) Corps Engineer Regiment, Royal Engineers, a unit in the UK Territorial Army * 115 (Leicestershire) ...

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