Properties of the Number 8031

Eight Thousand Thirty-One

Basics

Value: 8030 → 8031 → 8032

Parity: odd

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 2677

Divisors: 1, 3, 2677, 8031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101011111

Octal: 17537

Duodecimal: 4793

Hexadecimal: 1f5f

Square: 64496961

Square Root: 89.61584681293817

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Partial sums of A299256. A299262

Number of superdiagonal bargraphs with area n. A219282

Number of vertices in a Farey fan of order n. A360042

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318091

Numbers k such that k⁸¹*(k⁸¹+1)+1 is prime. A153442

Numbers of the form 110 + p². (where p is a prime). A138693

G.f.: q-cosh(x) evaluated at q=-x. A198201

Number of 3-element subsets of {1,...,n} whose sum has more than 3 divisors. A241564

a(n) = A273059(4n+2). A275918