Properties of the Number 26913

Twenty-Six Thousand Nine Hundred Thirteen

Basics

Value: 26912 → 26913 → 26914

Parity: odd

Prime: No

Previous Prime: 26903

Next Prime: 26921

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 8971

Divisors: 1, 3, 8971, 26913

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100100100001

Octal: 64441

Duodecimal: 136A9

Hexadecimal: 6921

Square: 724309569

Square Root: 164.05182108102306

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

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k DDUU's, where U=(1,1), D=(1,-1) (0<=k<=floor(n/2)-1 for n>=2). A114492

a(n) = 32·n² + 1. A158575

a(0) = 1, a(1)= 2, a(n) = (a(n+1) - a(n-1))/n, or a(n+1) = n·a(n) + a(n-1). A93858

a(n) = 841·n + 1. A158404

Sum of end-to-end Manhattan distances over all self-avoiding walks on square lattice trapped after n steps. A78800

The number of valleys of width 1 (i.e., DHU configurations, where U=(0,1), H(1,0), D=(0,-1)) in all bargraphs of semiperimeter n (n>=2). A273722

Numbers k such that prime(k+1)^prime(k+3) == prime(k) mod prime(k+2). A335571

a(n) = ∑_k=1..n k³ * φ(k). A344526

Expansion of tan(tan(sin(x))). A9690

T(2n-1,n-2), T given by A026907. A26913