Properties of the Number 26944

Twenty-Six Thousand Nine Hundred Forty-Four

Basics

Value: 26943 → 26944 → 26945

Parity: even

Prime: No

Previous Prime: 26927

Next Prime: 26947

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 421

Divisors: 1, 2, 4, 8, 16, 32, 64, 421, 842, 1684

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100101000000

Octal: 64500

Duodecimal: 13714

Hexadecimal: 6940

Square: 725979136

Square Root: 164.14627622946554

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

Multiply a(n-1) by 2 and drop all 0's. A242350

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x<R, y>R, z>R, where R = max{w,x,y,z} - min{w,x,y,z}. A212753

Expansion of χ(q) * χ(-q⁹) / (χ(-q) * χ(q⁹)) in powers of q where χ() is a Ramanujan θ function. A261156

E.g.f.: (1 - sinh(x)) / (1 - 2·sinh(x)). A332257

G.f. A(x) satisfies A(x) = ∑_n=-oo..+oo x^n² * (A(x) - xⁿ)ⁿ/(1 - xⁿ*A(x))ⁿ. A380060

Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235286

E.g.f. satisfies: A(x) = exp(2·x) * A(-x). A275764

Quotients associated with A097982. A98024

Exponential convolution of central polygonal numbers (A000124) with themselves. A276042

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235289