Properties of the Number 32493

Thirty-Two Thousand Four Hundred Ninety-Three

Basics

Value: 32492 → 32493 → 32494

Parity: odd

Prime: No

Previous Prime: 32491

Next Prime: 32497

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10831

Divisors: 1, 3, 10831, 32493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111011101101

Octal: 77355

Duodecimal: 16979

Hexadecimal: 7eed

Square: 1055795049

Square Root: 180.25814822082245

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 that can be partitioned into distinct pairs of (possibly equal) parts. A338916

Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A274058

Number of partitions p of n such that (number of even numbers in p) < 2*(number of odd numbers in p). A241641

Triangle read by rows: T(n,k) is the number of down-up permutations on [n] whose peaks have k rises. A194365

Numbers k such that k divides ∑_i=1..k A004086(i). A369612

Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically, diagonally or antidiagonally, and top left element zero. A233023

Number of 7Xn 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2. A274732

Numbers k such that 233·2^k+1 is prime. A32493