Properties of the Number 11574

Eleven Thousand Five Hundred Seventy-Four

Basics

Value: 11573 → 11574 → 11575

Parity: even

Prime: No

Previous Prime: 11551

Next Prime: 11579

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 643

Divisors: 1, 2, 3, 6, 9, 18, 643, 1286, 1929, 3858

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110100110110

Octal: 26466

Duodecimal: 6846

Hexadecimal: 2d36

Square: 133957476

Square Root: 107.58252646224665

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

T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. A285152

a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways. A25414

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234450

Expansion of (χ(x³) / χ(-x²))² in powers of·where χ() is a Ramanujan θ function. A328789

a(n) = 1 + ∑_k=2..n (-1)^k * k² * a(floor(n/k)). A361983

Smallest positive integer which can be expressed as the ordered sum of 3 squares in exactly n different ways. A124970

a(n) = floor(n*(n-1)*(n-2)*(n-3)/31). A11941

Square array read by antidiagonals: T(n,k)=T(n,k-1)*n²/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67346

Expansion of (1+sqrt(1-4x))/(4sqrt(1-4x)-2). A104530

Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234445