Properties of the Number 13291

Thirteen Thousand Two Hundred Ninety-One

Basics

Value: 13290 → 13291 → 13292

Parity: odd

Prime: Yes

Previous Prime: 13267

Next Prime: 13297

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13291

Divisors: 1, 13291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111101011

Octal: 31753

Duodecimal: 7837

Hexadecimal: 33eb

Square: 176650681

Square Root: 115.28659939472584

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 that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)² - s(n) + 1, s(0) = 2. A7996

Discriminants of imaginary quadratic fields with class number 21 (negated). A46018

Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3. A385188

Primes that remain prime through 3 iterations of function f(x) = 5x + 2. A23283

a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime. A80155

Primes congruent to 8 mod 37. A142117

Primes p such that 10p+1 divides 2^p-1. A188133

Primes of the form 30·p + 1 where p is also prime. A51646

Number of digits in n-th even perfect number written in base 8. A161514

Primes p == 3 (mod 4), p > 3 such that 2+-i are 24th powers modulo p. A385191