Properties of the Number 27557

Twenty-Seven Thousand Five Hundred Fifty-Seven

Basics

Value: 27556 → 27557 → 27558

Parity: odd

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17 × 1621

Divisors: 1, 17, 1621, 27557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101110100101

Octal: 65645

Duodecimal: 13B45

Hexadecimal: 6ba5

Square: 759388249

Square Root: 166.00301202086666

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

Bases b where exactly nine primes p with p < b exist such that p is a base-b Wieferich prime. A325885

Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes. A339533

a(n) = 81·n² - 90·n + 26. A154295

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202873; by antidiagonals. A202767

a(n) = 4·prime(n)²+1. A60429

Number of 3 X n arrays containing n copies of 0..3-1 with no element 1 greater than its west, southwest or northwest neighbor modulo 3 and the upper left element equal to 0. A267164

n·10⁴-1, n·10⁴-3, n·10⁴-7 and n·10⁴-9 are all prime. A64978

30·a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 7. A90776

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0. A267328

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 2^n²-k * 3^k) (mod 5ⁿ) ). A376535