Properties of the Number 11572

Eleven Thousand Five Hundred Seventy-Two

Basics

Value: 11571 → 11572 → 11573

Parity: even

Prime: No

Previous Prime: 11551

Next Prime: 11579

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 263

Divisors: 1, 2, 4, 11, 22, 44, 263, 526, 1052, 2893

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110100110100

Octal: 26464

Duodecimal: 6844

Hexadecimal: 2d34

Square: 133911184

Square Root: 107.57323087088163

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

Numbers n such that Bernoulli number B_n has denominator 690. A272186

a(n) = |{m : multiplicative order of 10 mod m is equal to n}|. A59892

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264628

Triangle read by rows: row n (n>=0) gives the coefficients of the polynomial p(n,x) of degree n defined in comments. A159041

Triangle read by rows: absolute values of odd-numbered rows of A159041. A171692

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

G.f. A(x) satisfies: A(x) = x + x² * exp( ∑_k>=1 (-1)^k+1 * A(x^k)² / (k·x^k) ). A363388

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace. A211145

Pentagonal numbers (A000326) which are also centered heptagonal numbers (A069099). A254654

Pentagonal numbers that are the sum of a nonzero pentagonal number and a nonzero square in at least one way. A134938