Properties of the Number 32472

Thirty-Two Thousand Four Hundred Seventy-Two

Basics

Value: 32471 → 32472 → 32473

Parity: even

Prime: No

Previous Prime: 32467

Next Prime: 32479

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 11 × 41

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111011011000

Octal: 77330

Duodecimal: 16960

Hexadecimal: 7ed8

Square: 1054430784

Square Root: 180.19988901217448

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,3,3,...) and super- and subdiagonals (1,1,1,...). A124733

Sum of all the parts in the partitions of n into 10 parts. A326588

Number of groups of order prime(n)⁶. A232106

Numbers k such that σ(k) AND 3·k = 3·k, where AND is bitwise-and, A004198. A388022

a(n) = 25·n² + 2·n. A154377

A sixth-order linear divisibility sequence related to the Fibonacci numbers: a(n) := (1/10)*Fibonacci(3·n)*Fibonacci(5·n)/Fibonacci(n). A238601

Primitive terms of A388022: numbers k that satisfy σ(k) AND 3·k = 3·k, but none of whose proper divisors satisfy the same condition. A388025

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192389

a(n) = 3·p²+39·p+344+24·gcd(p-1,3)+11·gcd(p-1,4)+2·gcd(p-1,5), where p = prime(n). A269749

g_n(16) where g is the weak Goodstein function defined in A266202. A271992