Properties of the Number 26163

Twenty-Six Thousand One Hundred Sixty-Three

Basics

Value: 26162 → 26163 → 26164

Parity: odd

Prime: No

Previous Prime: 26161

Next Prime: 26171

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 17 × 19

Divisors: 1, 3, 9, 17, 19, 27, 51, 57, 81, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110011000110011

Octal: 63063

Duodecimal: 13183

Hexadecimal: 6633

Square: 684502569

Square Root: 161.74980680050285

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

a(n) = n²*(n² - 1)/4. A6011

a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2). A28723

Numbers such that floor(a(n)² / 6) is a square. A204518

Number of binary Lyndon words with an even number of 1's. A51841

T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1. A211849

The number of partitions of n in which at least one part is a multiple of 3. A295341

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are < p/2. A282039

a(n) = (9/2)*(n-1)*(n-2)*(n-3). A134171

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

Records in A175046. A319422