Properties of the Number 31054

Thirty-One Thousand Fifty-Four

Basics

Value: 31053 → 31054 → 31055

Parity: even

Prime: No

Previous Prime: 31051

Next Prime: 31063

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 15527

Divisors: 1, 2, 15527, 31054

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100101001110

Octal: 74516

Duodecimal: 15B7A

Hexadecimal: 794e

Square: 964350916

Square Root: 176.22145158861903

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

Growth series for affine Coxeter group B₄. A267167

T(n,k) = coefficient of xⁿ*y^k in A(x,y) such that: x = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y + xⁿ)ⁿ * A(x,y)ⁿ. A359720

The least number s having exactly n fours in the continued fraction of sqrt(s). A206584

Number of partitions in all twice partitions of n where both partitions are strict. A327553

Expansion of (χ(-x) * χ(-x³))^-3 in powers of·where χ() is a Ramanujan θ function. A229180

a(n) = A359720(n+2,1), for n >= 0. A359725

Number of 3-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187858

Where records occur in A094593. A331398

a(n)=least k such that base 8 representation of n begins at s(k), where s=A031045. A31054