Properties of the Number 6088

Six Thousand Eighty-Eight

Basics

Value: 6087 → 6088 → 6089

Parity: even

Prime: No

Previous Prime: 6079

Next Prime: 6089

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 761

Divisors: 1, 2, 4, 8, 761, 1522, 3044, 6088

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111001000

Octal: 13710

Duodecimal: 3634

Hexadecimal: 17c8

Square: 37063744

Square Root: 78.02563681252464

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 integer partitions of n such that every pair of distinct parts has a different quotient. A325853

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having genus k (see first comment for definition of genus). A177267

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235017

Sum of odd-indexed primes. A77131

Expansion of q * χ(-q) / χ(-q⁵)⁵ in powers of q where χ() is a Ramanujan θ function. A95813

Expansion of ∏_n>=1 1/sqrt(1 + (4·x)ⁿ). A298993

The number of grains of sand in the identity element for the sandpile group on an (n+1) X (n+1) square grid. A307652

Expansion of e.g.f. ∏_{i>=1, j>=1} 1/(1 - x^i·j)^1/(i·j). A318695

a(n) = 9 + floor((3 + ∑_j=1..n-1 a(j))/4). A120167

O.g.f.: ∑_n>=0 n!*(x/(1+x)²)ⁿ. A127548