Properties of the Number 12032

Twelve Thousand Thirty-Two

Basics

Value: 12031 → 12032 → 12033

Parity: even

Prime: No

Previous Prime: 12011

Next Prime: 12037

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁸ × 47

Divisors: 1, 2, 4, 8, 16, 32, 47, 64, 94, 128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111100000000

Octal: 27400

Duodecimal: 6B68

Hexadecimal: 2f00

Square: 144769024

Square Root: 109.6904736064167

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) = 2ⁿ*Lucas(n), where Lucas = A000032. A87131

Multiples of 8 with digit sum 8. A69543

Number of partitions of n such that the number of even parts is a part. A240573

Products of the 8th power of a prime and a distinct prime (p⁸*q). A179668

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 7. A195091

T(n,k) = number of n X k 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224262

Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order. A58952

Values of n such that there are exactly 7 solutions to x² - y² = n with x > y >= 0. A257414

The sum of the numbers on straight lines of incrementing length n when drawn over numbers of the square spiral, where each line contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one line. If two or more lines exist with the same sum the one containing the smallest number is chosen. A340974

∏_n>=1 (1 + xⁿ)^a(n/n!) = 1 + tanh(x). A354176