Properties of the Number 26917

Twenty-Six Thousand Nine Hundred Seventeen

Basics

Value: 26916 → 26917 → 26918

Parity: odd

Prime: No

Previous Prime: 26903

Next Prime: 26921

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 2447

Divisors: 1, 11, 2447, 26917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100100100101

Octal: 64445

Duodecimal: 136B1

Hexadecimal: 6925

Square: 724524889

Square Root: 164.06401189779555

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

Expansion of ∏_m>=1 (1 + q^m)^2·m. A26011

Triangle read by rows: T(n,k) is the number of even permutations of {1,2,...,n} with no fixed points and having k excedances (n>=1; k>=1). A145881

Odd composites (including 1 in the count) where the number 1 mod 4 equals the number 3 mod 4. A93180

a(n) = 7 + floor((1 + ∑_j=1..n-1 a(j))/4). A120165

Row sums of triangle A137855. A137856

Numbers k such that k, k+1, k+2, k+3 have 2, 3, 4, 5 prime factors respectively, counted with multiplicity. A363391

Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1. A35970

a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026907. A26917