Properties of the Number 32991

Thirty-Two Thousand Nine Hundred Ninety-One

Basics

Value: 32990 → 32991 → 32992

Parity: odd

Prime: No

Previous Prime: 32987

Next Prime: 32993

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1571

Divisors: 1, 3, 7, 21, 1571, 4713, 10997, 32991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011011111

Octal: 100337

Duodecimal: 17113

Hexadecimal: 80df

Square: 1088406081

Square Root: 181.6342478719253

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

G.f.: ∏_j>=1 ∏_i>=1 (1 + x^i·j). A107742

a(n) = A064688(n) - 1. A123557

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k 0's in the top row A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181330

Least integer k in A031443 such that k·n is also in A031443, or -1 if there is no such k. A358857

Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n. A208972

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 189", based on the 5-celled von Neumann neighborhood. A270679

Sum of the third largest parts in the partitions of n into 6 parts. A308871

If d,e are consecutive digits of n in base 9, then |d-e|>=4. A32991