Properties of the Number 13624

Thirteen Thousand Six Hundred Twenty-Four

Basics

Value: 13623 → 13624 → 13625

Parity: even

Prime: No

Previous Prime: 13619

Next Prime: 13627

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 13 × 131

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 131, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010100111000

Octal: 32470

Duodecimal: 7A74

Hexadecimal: 3538

Square: 185613376

Square Root: 116.72189169131899

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

Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5), a(0)=a(1)=a(2)=a(3)=0, a(4)=1. A1591

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235098

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors. A283415

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is a part. A241414

Numbers k such that k + σ(k) + σ(σ(k)) is a square. A116014

Number of distinct sums of subsets of the first n squares {1,4,9,...,n²}. A208531

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and positive determinant. A211148

a(n) = number of integer solutions to 1 <= x1 <= x2 <= ... <= xn to 1/x1 + ... + 1/xn = (1 - 1/x1) * ... * (1 - 1/xn). A369470

Expansion of ∏_{m >= 1} (1-m·q^m)¹³. A22673

Least a(n) such that the period of continued fraction for sqrt(a(n)) has at least n successive 1's. A60215