Properties of the Number 15427

Fifteen Thousand Four Hundred Twenty-Seven

Basics

Value: 15426 → 15427 → 15428

Parity: odd

Prime: Yes

Previous Prime: 15413

Next Prime: 15439

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 15427

Divisors: 1, 15427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110001000011

Octal: 36103

Duodecimal: 8B17

Hexadecimal: 3c43

Square: 237992329

Square Root: 124.20547491958638

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

Sum of 12 nonzero 8th powers. A3390

Seventh term of weak prime septet: p(m-5)-p(m-6) < p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1). A54840

Expansion of g.f.: exp( ∑_n>=1 σ(5·n)*xⁿ/n ). A182821

Primes p with q(p) - 1 also prime, where q(.) is the strict partition function (A000009). A234644

Numbers that are the sum of eight fourth powers in eight or more ways. A345583

Numbers that are the sum of eight fourth powers in nine or more ways. A345584

Numbers that are the sum of eight fourth powers in exactly nine ways. A345841

Greatest prime factor of prime(n)! / prime(n)# + 1. A103892

Primes p such that p+12, p+1234 and p+123456 are also prime. A236304

Numerators of the convergents given by treating A084580 as continued fraction coefficients after the leading 0. A390651