Properties of the Number 13726

Thirteen Thousand Seven Hundred Twenty-Six

Basics

Value: 13725 → 13726 → 13727

Parity: even

Prime: No

Previous Prime: 13723

Next Prime: 13729

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 6863

Divisors: 1, 2, 6863, 13726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110011110

Octal: 32636

Duodecimal: 7B3A

Hexadecimal: 359e

Square: 188403076

Square Root: 117.15801295686096

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

Total number of congruence subgroups of PSL(2,Z) of genus n. A258691

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 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235087

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with all the 2X2 subblocks nonsingular and the array of 2X2 subblock determinants symmetric. A187462

a(n) = A055450(n, n-4). A55454

Partial sums of A294016. A294017

Expansion of 1 + ∑_n>=1 (x^n² / ∏_k>=n (1 - x^k)). A188216

Sum array of Catalan numbers (A000108) read by upward antidiagonals. A106534

Solution of the complementary equation a(n) = a(n-1) + a(n-3) + a(n-4) + b(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4, b(0) = 5, b(1) = 6, b(2) = 7, b(3) = 8, and (a(n)) and (b(n)) are increasing complementary sequences. A295754

Number of n-node rooted unlabeled trees with out-degree <=2 and exactly 2 edges at the root. A36657

G.f.: 1 = ∑_n>=0 a(n) * xⁿ * (1 - (2·n+1)*x)². A222080