Properties of the Number -26163

Twenty-Six Thousand One Hundred Sixty-Three

Basics

Value: -26164 → -26163 → -26162

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

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

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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

Expansion of g.f. (1-x)(x²-5x+3)/(x⁴-6x³+13x²-6x+1). A105660

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