Properties of the Number 28179

Twenty-Eight Thousand One Hundred Seventy-Nine

Basics

Value: 28178 → 28179 → 28180

Parity: odd

Prime: No

Previous Prime: 28163

Next Prime: 28181

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 101

Divisors: 1, 3, 9, 31, 93, 101, 279, 303, 909, 3131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111000010011

Octal: 67023

Duodecimal: 14383

Hexadecimal: 6e13

Square: 794056041

Square Root: 167.8660180024534

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 graphical partitions of 2n. A569

a(n) = ∑_k=1..n k²*τ(k), where τ is A000005. A319085

E.g.f.: exp(3·x*G(x)²) / G(x)² where G(x) = 1 + x·G(x)³ is the g.f. of A001764. A251573

Hilltop maps: number of 4Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 4Xn array. A221449

Number of nX4 0..1 arrays with every element unequal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317892

Expansion of 1/((1-5x)(1-6x)(1-11x)(1-12x)). A28179