Properties of the Number 26779

Twenty-Six Thousand Seven Hundred Seventy-Nine

Basics

Value: 26778 → 26779 → 26780

Parity: odd

Prime: No

Previous Prime: 26777

Next Prime: 26783

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 61 × 439

Divisors: 1, 61, 439, 26779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010011011

Octal: 64233

Duodecimal: 135B7

Hexadecimal: 689b

Square: 717114841

Square Root: 163.6429039097021

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

Euler transform of Pell numbers. A261329

Indices of prime numbers in A001129. A101759

G.f.: A(x) = ( G(x)⁵ - G(x⁵) - 5·x*((1-x⁴)/(1-x))/(1-x⁵) )/(25·x²) where G(x) is the g.f. of A110631. A111583

Integers k such that 10^k + 87 is a prime number. A135117

Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1. A35987

a(n) = ∑_{k=0..floor(n/2)} T(n-k,k), T given by A026769. A26779

a(n) = T(2n-1,n), where T is the array defined in A025177. A25183