Properties of the Number 15797

Fifteen Thousand Seven Hundred Ninety-Seven

Basics

Value: 15796 → 15797 → 15798

Parity: odd

Prime: Yes

Previous Prime: 15791

Next Prime: 15803

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 15797

Divisors: 1, 15797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110110110101

Octal: 36665

Duodecimal: 9185

Hexadecimal: 3db5

Square: 249545209

Square Root: 125.686116973992

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

Primes of form n² + 14641. A256839

Triangle read by rows in which row n lists prime factors of p^p - 1 where p = prime(n). A125135

Smallest primitive prime factor of 11ⁿ-1. A379644

a(n) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime. A325883

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime. A46122

Primes p2 such that p1³ + p2² is an average of twin primes and p1 < p2 are consecutive primes. A138755

Smallest m such that (sum of binary digits of m*(m+1)/2) = n. A211201

Prime quartet leaders: largest number of a prime quartet. A119892