Properties of the Number 31027

Thirty-One Thousand Twenty-Seven

Basics

Value: 31026 → 31027 → 31028

Parity: odd

Prime: No

Previous Prime: 31019

Next Prime: 31033

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 19 × 23 × 71

Divisors: 1, 19, 23, 71, 437, 1349, 1633, 31027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100110011

Octal: 74463

Duodecimal: 15B57

Hexadecimal: 7933

Square: 962674729

Square Root: 176.14482677615032

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 partitions of n into parts of 5 kinds. A23004

Triangle read by rows: numerators of the almost-Riordan array ( (-6·x - 3 - 3·sqrt(12·x² - 8·x + 1))/(8·x² - 3·x - 3 + (3·x - 3)*sqrt(12·x² - 8·x + 1)) | 6/(3*(1 - x)*sqrt(12·x² - 8·x + 1) - 8·x² + 3·x + 3), (1 - 4·x - sqrt(12·x² - 8·x + 1))/(2·x) ). A389739

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones. A31785

Write the (n+1)st Fibonacci number in base 7 and juxtapose. A31027

a(n) = [xⁿ] 1/η(x)^5ⁿ. A158105

Array of the coefficients A(n,k) in the expansion of ∏_i>=1 1/(1-xⁱ)ⁿ = ∑_k>=0 A(n,k)*x^k, n >= 1, k >= 0. A60850

G.f.: η(x) + x*η'(x). A184362