Properties of the Number 32004

Thirty-Two Thousand Four

Basics

Value: 32003 → 32004 → 32005

Parity: even

Prime: No

Previous Prime: 32003

Next Prime: 32009

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 127

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100000100

Octal: 76404

Duodecimal: 16630

Hexadecimal: 7d04

Square: 1024256016

Square Root: 178.8966181905069

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

Starting from generation 8 add previous and next term yielding generation 9. A48455

Star of David matchstick numbers: a(n) = 6·n*(3·n+1). A45946

Smaller member of a noninfinitary amicable pair: numbers (k, m) such that nisigma(k) = m and nisigma(m) = k, where nisigma(k) is the sum of the noninfinitary divisors of k (A348271). A348343

a(n) = 4·n³ + 4. A100214

The number of orbits of 4-tuples of the dihedral group of order 2n acting on {1,2,...,n}. A236332

Number of partitions of n into 8 parts such that every i-th smallest part (counted with multiplicity) is different from i. A244244

Number of 3 X n matrices with 3·n/2 1's (if n is even) or (3·n+1)/2 1's (if n is odd) that do not have a horizontal nor vertical nor diagonal 3-streak of 1's. A339631

Number of final Tic-Tac-Toe positions on a (2·n) X 3 board that resulted in a tie. A339633

a(n) = ∑_k=1..n k*(prime(k) - k). A110477

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 51", based on the 5-celled von Neumann neighborhood. A270020