Properties of the Number 31329

Thirty-One Thousand Three Hundred Twenty-Nine

Basics

Value: 31328 → 31329 → 31330

Parity: odd

Prime: No

Previous Prime: 31327

Next Prime: 31333

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 59 ²

Divisors: 1, 3, 9, 59, 177, 531, 3481, 10443, 31329

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001100001

Octal: 75141

Duodecimal: 16169

Hexadecimal: 7a61

Square: 981506241

Square Root: 177

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) = (6·n+3)². A16946

Odd refactorable numbers. A36896

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically, antidiagonally or horizontally. A189905

a(n) = (8·n + 1)². A17078

a(n) = (11·n+1)². A17402

Numbers that are the product of distinct primes with prime subscripts raised to prime powers. A346068

Squares with initial digit '3'. A45786

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally. A189161

Numbers for which the number of odious proper divisors (A000069) equals the number of evil proper divisors (A001969). A227891

a(n) = ∑_{k=0..floor(n/3)} (4·k+1) * binomial(2·n-2·k+1,n-3·k)/(2·n-2·k+1). A390478