Properties of the Number 31486

Thirty-One Thousand Four Hundred Eighty-Six

Basics

Value: 31485 → 31486 → 31487

Parity: even

Prime: No

Previous Prime: 31481

Next Prime: 31489

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 13 × 173

Divisors: 1, 2, 7, 13, 14, 26, 91, 173, 182, 346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101011111110

Octal: 75376

Duodecimal: 1627A

Hexadecimal: 7afe

Square: 991368196

Square Root: 177.44294857784573

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) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

Expansion of x⁴*(2+x)/((1+x)*(1-x)⁵). A82289

p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = 1 - S - S² - S³. A291737

Multiplicity of highest weight (or singular) vectors associated with character chi₃₃ of Monster module. A34421

Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1. A35965

Numbers k that divide the sum of the first k partition numbers (A000041) and the sum of the first k unique partition numbers (A000009). A59218

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, -1), (1, 0, 1), (1, 1, 0)}. A150439

Expansion of (1 + x + x²)/(1 - x - 3·x² - x³ + x⁴). A280758

Number of n X 5 binary arrays with all 1s connected, and all corners 1. A163049

Numbers whose base-7 representation has 2 fewer 0's than 6's. A31486