Properties of the Number 13177

Thirteen Thousand One Hundred Seventy-Seven

Basics

Value: 13176 → 13177 → 13178

Parity: odd

Prime: Yes

Previous Prime: 13171

Next Prime: 13183

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13177

Divisors: 1, 13177

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11001101111001

Octal: 31571

Duodecimal: 7761

Hexadecimal: 3379

Square: 173633329

Square Root: 114.79111463872106

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 + 1296. A256834

Primes that remain prime when a single digit 7 is inserted between any two consecutive digits or as the leading or trailing digit. A215420

Primes that remain prime when a single "7" digit is inserted between any two adjacent digits. A217065

Square array A(n, k) = 2·A246278(n, k) - σ(A246278(n, k)), read by falling antidiagonals. Deficiency applied to the prime shift array. A378979

E.g.f.: A(x) = [ exp(x)/(5 - 4·exp(x)) ]^1/5. A136729

Primes of the form (m²+1)/10. A207337

Primes p such that exactly four numbers among all circular permutations of the digits of p are prime. A344628

Number of divisors of n! which are also differences between consecutive divisors of n! (ordered by size). A60742

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

a(n) = n⁴ - n³ - n² - n - 1. A125082