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Smith Number
In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the same base. In the case of numbers that are not square-free, the factorization is written without exponents, writing the repeated factor as many times as needed. Smith numbers were named by Albert Wilansky of Lehigh University, as he noticed the property in the phone number (493-7775) of his brother-in-law Harold Smith: : 4937775 = 3 · 5 · 5 · 65837 while : 4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 + 5 + 5 + (6 + 5 + 8 + 3 + 7) in base 10.Sándor & Crstici (2004) p.383 Mathematical definition Let n be a natural number. For base b > 1, let the function F_b(n) be the digit sum of n in base b. A natural number n with prime factorization n = \prod_ p^ is a Smith number if F_b(n) = \sum_ v_p(n) F_ ...
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Brother-in-law
A sibling-in-law is the spouse of one's sibling or the sibling of one’s spouse. More commonly, a sibling-in-law is referred to as a brother-in-law for a male sibling-in-law and a sister-in-law for a female sibling-in-law. Sibling-in-law also refers to the reciprocal relationship between a person's spouse and their sibling's spouse. In Indian English this can be referred to as a co-sibling (specifically a co-sister, for the wife of one's sibling-in-law, or co-brother, for the husband of one's sibling-in-law). Relationships Siblings-in-law are related by a type of kinship called ''affinity'' like all in-law relationships. All of these are relations which do not relate to the person directly by blood.Cambridge Dictionaries Online.Family: non-blood relations. Just like the children of one's siblings, the children of one's siblings-in-law are called simply ''nieces'' and ''nephews'' – if necessary, specified whether "by marriage", as opposed to " by blood" or "by adoption". ...
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Base 10
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (''decimal fractions'') of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as ''decimal notation''. A decimal numeral (also often just ''decimal'' or, less correctly, ''decimal number''), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in or ). ''Decimal'' may also refer specifically to the digits after the decimal separator, such as in " is the approximation of to ''two decimals''". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value. The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form , ...
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438 (number)
400 (four hundred) is the natural number following 399 and preceding 401. Mathematical properties A circle is divided into 400 grads. Integers from 401 to 499 400s 401 401 is a prime number, tetranacci number, Chen prime, prime index prime * Eisenstein prime with no imaginary part * Sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71) * Sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61) * Mertens function returns 0, * Member of the Mian–Chowla sequence. 402 402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number, number of graphs with 8 nodes and 9 edges * HTTP status code for "Payment Required". *The area code for Nebraska. 403 403 = 13 × 31, heptagonal number, Mertens function returns 0. * First number that is the product of an emirp pair. * HTTP 403, the status code for "Forbidden" * Also in the name of a retirement plan in the United States, 403(b). * The area code for southern Alberta. 404 4 ...
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391 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = ...
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382 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = 11 ...
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378 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = 11 & ...
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355 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = 11 ...
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346 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = ...
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319 (number)
300 (three hundred) is the natural number following 299 and preceding 301. In Mathematics 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. Integers from 301 to 399 300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 315 = 32 × 5 × 7 = D_ \!, rencontres number, highly composite odd number, having 12 divisors. It is a Harshad number, as it is divisible by the sum of its digits. It is a Zuckerman number, as it is divisible by the product of its digits. 316 316 = 22 × 79, a centered triangular number and a centered heptagonal number. 317 317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 318 319 319 = 11 &time ...
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274 (number)
274 (two hundred ndseventy-four) is the natural number following 273 and preceding 275. In mathematics *274 is an even composite number. *274's sum of its proper divisors is 140. *The number 274 is the 13th tribonacci number. This is defined by the equations P(0)=P(1)=0 P(2)=1 and P(n)=P(n-1)+P(n-2)+P(n-3). *274 is the sum of 5 perfect cubes. It is the sum of 23+23+23+53+53. *274 is a Stirling number of the first kind which counts the number of permutations and their number of cycles Cycle, cycles, or cyclic may refer to: Anthropology and social sciences * Cyclic history, a theory of history * Cyclical theory, a theory of American political history associated with Arthur Schlesinger, Sr. * Social cycle, various cycles in .... References {{Integers, 2 Integers ...
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265 (number)
265 (two hundred ndsixty-five) is the natural number following 264 and preceding 266. In mathematics *265 is an odd composite number with two prime factors. *265's sum of its proper divisors is 59. *265 is the number of derangements possible with 6 digits. That means that it is equivalent to !6. *The number 265 is associated with the geometric shape known as the Vesica Piscis. This is shown by having 2 circles overlap in a way that the circumference of each circle touches the center of the other. Archimedes estimated that the ratio of the height of this shape to the width was 265:153 or approximately √3. *265 is the 22nd Padovan number which is defined by the two equations P(0)=P(1)=P(2)=1 and P(n)=P(n-2)+P(n-3) similar to the Fibonacci sequence. *265 is the 7th number to be the hypotenuse for two separate Pythagorean Triples. The other two values would be 23 and 264 __NOTOC__ Year 264 (Roman numerals, CCLXIV) was a leap year starting on Friday of the Julian calendar. ...
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202 (number)
202 (two hundred ndtwo) is the natural number following 201 and preceding 203. In mathematics 202 is a Smith number, meaning that its digit sum and the sum of digits of its prime factors are equal. It is also a strobogrammatic number, meaning that when shown on a seven-segment display, turning the display upside-down shows the same number. There are exactly 202 partitions of 32 (a power of two) into smaller powers of two. There are also 202 distinct (non-congruent) polygon In geometry, a polygon () is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its '' edges'' or ''sides''. The points where two edges meet are the polygon ...s that can be formed by connecting all eight vertices of a regular octagon into a cycle, and 202 distinct (non-isomorphic) directed graphs on four unlabeled vertices, not having any isolated vertices. See also * HTTP status code 202 meaning the requ ...
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