Properties of the Number 13171

Thirteen Thousand One Hundred Seventy-One

Basics

Value: 13170 → 13171 → 13172

Parity: odd

Prime: Yes

Previous Prime: 13163

Next Prime: 13177

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13171

Divisors: 1, 13171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101110011

Octal: 31563

Duodecimal: 7757

Hexadecimal: 3373

Square: 173475241

Square Root: 114.76497723608888

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 which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A69246

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664]. A78858

Numbers n such that the decimal expansions of both n and n² have 1 as smallest digit and 7 as largest digit. A257210

Number of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

Palindromic primes in base 4. A29972

Primes p such that the multiplicative order of 2 modulo p is (p-1)/5. A1135

Number of series-reduced rooted identity trees with n leaves spanning an initial interval of positive integers. A316653

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

Primes p such that p's set of distinct digits is {1,3,7}. A108382

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823