Properties of the Number 26916

Twenty-Six Thousand Nine Hundred Sixteen

Basics

Value: 26915 → 26916 → 26917

Parity: even

Prime: No

Previous Prime: 26903

Next Prime: 26921

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2243

Divisors: 1, 2, 3, 4, 6, 12, 2243, 4486, 6729, 8972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100100100100

Octal: 64444

Duodecimal: 136B0

Hexadecimal: 6924

Square: 724471056

Square Root: 164.06096427852665

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

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B). A7258

Numbers which are the sum of their proper divisors containing the digit 8. A59467

McKay-Thompson series of class 6E for the Monster group with a(0) = 1. A45488

Triangle read by rows: T(n,k) is the number of odd permutations of {1,2,...,n} with no fixed points and having k excedances (n>=1; k>=1). A145880

Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y|,|y-w| distinct. A213493

Fibonacci sequence beginning 3, 15. A22381

a(n) = ∑_k=1..n C(n,k) * σ(k)^n-k for n>=1. A251658

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259003

O.g.f.: exp( ∑_n>=1 A251658(n) * xⁿ/n ), where A251658(n) = ∑_k=1..n C(n,k) * σ(k)^n-k. A291558

a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026907. A26916