Properties of the Number 26856

Twenty-Six Thousand Eight Hundred Fifty-Six

Basics

Value: 26855 → 26856 → 26857

Parity: even

Prime: No

Previous Prime: 26849

Next Prime: 26861

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 373

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100011101000

Octal: 64350

Duodecimal: 13660

Hexadecimal: 68e8

Square: 721244736

Square Root: 163.87800340497196

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

The total number of fires in a rooted undirected infinite 5-ary tree with a self-loop at the root, when the chip-firing process starts with (5ⁿ-1)/4 chips at the root. A378728

Values of n such that (σ(σ(n))-φ(φ(n)))/n is an integer (the corresponding integral ratios are given in A136132). A136131

Main diagonal of square arrays A114881 and A249741. A249743

Riordan array (1/sqrt(1-6x+5x²),x/(1-6x+5x²)). A111965

Numbers n such that 65·2ⁿ-1 is prime. A50558

Table read by antidiagonals: T(n, k) is the sum of the numbers inside the k-th square of size n X n when the square spiral is tiled with these squares, where each tile contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one tile. A341363

Number of (n+1)X2 0..2 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum. A185610

a(n) = T(2n+1,n+3), T given by A026736. A26856

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. A298191