Properties of the Number 15413

Fifteen Thousand Four Hundred Thirteen

Basics

Value: 15412 → 15413 → 15414

Parity: odd

Prime: Yes

Previous Prime: 15401

Next Prime: 15427

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 15413

Divisors: 1, 15413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000110101

Octal: 36065

Duodecimal: 8B05

Hexadecimal: 3c35

Square: 237560569

Square Root: 124.1491039033307

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 k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10. A31423

Primes p for which exactly five bases b with 1 < b < p exist such that p is a base b Wieferich prime. A255208

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Non-palindromic balanced primes. A256076

Numbers that are the sum of nine fourth powers in ten or more ways. A345594

Number of sorted multiplicative partitions of n! of length n. A85289

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340. A146362

Primes that remain prime through 3 iterations of function f(x) = 9x + 10. A23299

Primes that remain prime through 4 iterations of function f(x) = 9x + 10. A23327

Fifth term of weak prime sextet: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m). A54832