Properties of the Number 15358

Fifteen Thousand Three Hundred Fifty-Eight

Basics

Value: 15357 → 15358 → 15359

Parity: even

Prime: No

Previous Prime: 15349

Next Prime: 15359

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 1097

Divisors: 1, 2, 7, 14, 1097, 2194, 7679, 15358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111111110

Octal: 35776

Duodecimal: 8A7A

Hexadecimal: 3bfe

Square: 235868164

Square Root: 123.92739810066215

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

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally. A188851

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo k+1. A269678

Number of partitions p of n such that (number of numbers of the form 5k + 1 in p) is a part of p. A241550

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 431) or the same sequence for the mesh pattern (12, 491). A289601

Expansion of q * (χ(-q) * χ(-q⁵))^-4 in powers of q where χ() is a Ramanujan θ function. A93831

Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n. A115214

Convolution of primes with odd primes. A209403

Concatenate n-th composite integer with concatenation of its prime factors in ascending order and the sum of its prime factors. A245316

a(0) = 1, a(1) = 5, a(2) = 13; a(n) = 2·a(n-1) + 2, n > 2. A60182