Properties of the Number 31042

Thirty-One Thousand Forty-Two

Basics

Value: 31041 → 31042 → 31043

Parity: even

Prime: No

Previous Prime: 31039

Next Prime: 31051

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 17 × 83

Divisors: 1, 2, 11, 17, 22, 34, 83, 166, 187, 374

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100101000010

Octal: 74502

Duodecimal: 15B6A

Hexadecimal: 7942

Square: 963605764

Square Root: 176.18740023054997

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) = n*(n+1)*(5·n+1)/6. A33994

T(n,k)=Number of lower triangles of an n X n 0..k array with each element differing from all of its horizontal and vertical neighbors by one. A194998

Number of irreducible polynomials over F₂ of degree at most n. A62692

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/5. A279779

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = ∏_n>=1 (1 + xⁿ)/(1 - xⁿ). A300274

Composite squarefree numbers n such that p(i)-8 divides n+8, where p(i) are the prime factors of n. A225708

Number of cells in regular n-gon after 2 generations of mitosis. A349807

Number of lower triangles of an n X n 0..3 array with each element differing from all of its horizontal and vertical neighbors by one. A194993

Number of lower triangles of a 6 X 6 0..n array with each element differing from all of its horizontal and vertical neighbors by one. A195002

Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of cells in a regular n-gon after k generations of mitosis. A350000