Properties of the Number 31803

Thirty-One Thousand Eight Hundred Three

Basics

Value: 31802 → 31803 → 31804

Parity: odd

Prime: No

Previous Prime: 31799

Next Prime: 31817

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 10601

Divisors: 1, 3, 10601, 31803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000111011

Octal: 76073

Duodecimal: 164A3

Hexadecimal: 7c3b

Square: 1011430809

Square Root: 178.33395638520443

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

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺². A326285

a(n) equals the coefficient of x^n*(n+1) in ∑_m>=0 (m+1) * x^m * (1 + x^m)^m / (1 + x^m+1)^m+2 for n >= 0. A326286

Numbers k such that k and k+2 are both A000120-perfect numbers (A175522). A360639

a(n) is the start of the least run of exactly n consecutive odd numbers that are A000120-perfect numbers (A175522). A360640

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, -1), (1, 0, -1), (1, 0, 1)}. A149251

Numbers k such that 9·10^k + 19 is prime. A272622

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones. A31803