Properties of the Number 15899

Fifteen Thousand Eight Hundred Ninety-Nine

Basics

Value: 15898 → 15899 → 15900

Parity: odd

Prime: No

Previous Prime: 15889

Next Prime: 15901

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 13 × 1223

Divisors: 1, 13, 1223, 15899

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111000011011

Octal: 37033

Duodecimal: 924B

Hexadecimal: 3e1b

Square: 252778201

Square Root: 126.09123680890754

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 (n+2)X(k+2) 0..3 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime. A251852

Number of partitions of n with rank a multiple of 4. A363233

G.f. x²*(1+x)/(1-12·x+15·x²-2·x³). A122011

Least number of consecutive primes beginning with 2, the sum of which (A007504) exceeds eⁿ. A323361

Upper members of a "good pair" of the form (k, 2·k +- 1). A46862

Odd nonprimes n such that n+d+1 is prime for all divisors d of n. A187554

Number of (n+2)X(1+2) 0..3 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime. A251846

Number of (n+2)X(3+2) 0..3 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime. A251848

Smallest k such that A257743(k)=n. A257744

Number of partitions of n in which exactly one even part is repeated and odd parts are unrestricted. A353902