Properties of the Number 26585

Twenty-Six Thousand Five Hundred Eighty-Five

Basics

Value: 26584 → 26585 → 26586

Parity: odd

Prime: No

Previous Prime: 26573

Next Prime: 26591

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 409

Divisors: 1, 5, 13, 65, 409, 2045, 5317, 26585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 110011111011001

Octal: 63731

Duodecimal: 13475

Hexadecimal: 67d9

Square: 706762225

Square Root: 163.04907236779974

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

Number of distributive lattices; also number of paths with n turns when light is reflected from 6 glass plates. A6359

Expansion of (1 + 26·x + 109·x² + 109·x³ + 26·x⁴ + x⁵) / (1 - x)⁸. A244881

Number of up-down sequences of length n and values in {1,2,...,n}. A276312

Odd numbers k such that A292270((k-1)/2) is a square < ((k-1)/2)². A292379

Primitive terms of A338890. A338892

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 21 (most significant digit on right). A61950

a(n) = T(n,n), T given by A026584. Also a(n) is the number of integer strings s(0), ..., s(n) counted by T, such that s(n)=0. A26585

Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables. A50446

Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. A50447

Array read by ascending antidiagonals: T(n, k) = [x^k] cf(n) where cf(n) is the continued fraction (-1)ⁿ/(~x - 1/(~x - ... 1/(~x - 1)))...) and where '~' is '-' if n is even, and '+' if n is odd, and·appears n times in the expression. A373424