Properties of the Number 31446

Thirty-One Thousand Four Hundred Forty-Six

Basics

Value: 31445 → 31446 → 31447

Parity: even

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1747

Divisors: 1, 2, 3, 6, 9, 18, 1747, 3494, 5241, 10482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101011010110

Octal: 75326

Duodecimal: 16246

Hexadecimal: 7ad6

Square: 988850916

Square Root: 177.3302004735798

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 integer partitions of n whose distinct parts have integer mean. A360241

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 3 - x². A368152

Positive integers n such that S(n) divides n, where S(n) is the sum of the iterates of the Euler φ-function of n, that is, S(n) = φ(n)+φ(φ(n))+....+ 1. A113808

G.f.: ∑_n=-oo..+oo ( xⁿ / (1 - x^2·n*(1+x)ⁿ⁺¹) )². A268656

Number of ternary palindromes of length 2n+1 having no (7/4)+ powers. A279625

a(1) = 1; a(n+1) = floor(sqrt(∑_k=1..n a(k)²)). A67859

Numbers whose base-2 representation has 3 more 0's than 1's. A31446

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299447