Properties of the Number 32972

Thirty-Two Thousand Nine Hundred Seventy-Two

Basics

Value: 32971 → 32972 → 32973

Parity: even

Prime: No

Previous Prime: 32971

Next Prime: 32983

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 8243

Divisors: 1, 2, 4, 8243, 16486, 32972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011001100

Octal: 100314

Duodecimal: 170B8

Hexadecimal: 80cc

Square: 1087152784

Square Root: 181.58193742770783

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 distinct values taken by 10¹⁰^...¹⁰ (with n 10's and parentheses inserted in all possible ways). A145550

Numbers k such that 3·2^k + 35 is prime. A59759

Number of 3-good permutations on {1,2,...,n}, i.e., permutations that contain each of the six patterns {123, 132, 213, 231, 312, 321} as a subsequence. A124188

Number of partitions of n into parts with no prime gaps in their factorization. A137792

Numbers k such that 216·k+108 is a term of A097703 and A007494 and A098240. A98241

Triangle read by rows: T(n, k) is the number of permutations of length n, which contain the maximum number of distinct patterns of length k. A373877

Base-9 palindromes that start with 5. A43032

Numbers with the property that all pairs of consecutive base-9 digits differ by more than 1. A32972