Properties of the Number 15953

Fifteen Thousand Nine Hundred Fifty-Three

Basics

Value: 15952 → 15953 → 15954

Parity: odd

Prime: No

Previous Prime: 15937

Next Prime: 15959

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 43 × 53

Divisors: 1, 7, 43, 53, 301, 371, 2279, 15953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001010001

Octal: 37121

Duodecimal: 9295

Hexadecimal: 3e51

Square: 254498209

Square Root: 126.3051859584554

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222541

Number of 4-block ordered tricoverings of an unlabeled n-set. A60488

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A305776

dot product (n,n-1,...2,1).(3,4,...,n,1,2). A26054

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

Composites c whose decimal expansion ends with its largest prime factor. A50693

Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group. A74120

Number of ways to write highly composite numbers (A002182(n)) as the difference of two primes, both <= 2·A002182(n). A228945

a(n) is the smallest number such that there are exactly n numbers k (including a(n) itself) such that U(k) is isomorphic to U(a(n)) (or 0 if no such number exists). Here U(k) is the multiplicative group of integers modulo k. A303712

Expansion of 1 / ∑_k>=0 x^{k*(2·k - 1}). A361979