Properties of the Number 32166

Thirty-Two Thousand One Hundred Sixty-Six

Basics

Value: 32165 → 32166 → 32167

Parity: even

Prime: No

Previous Prime: 32159

Next Prime: 32173

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1787

Divisors: 1, 2, 3, 6, 9, 18, 1787, 3574, 5361, 10722

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110110100110

Octal: 76646

Duodecimal: 16746

Hexadecimal: 7da6

Square: 1034651556

Square Root: 179.3488221316215

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

T(n,k)=Number of length n+2 0..k arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253129

Number of equivalence classes of compositions of n where two compositions a,b are considered equivalent if the summands of a can be permuted into the summands of b with an even number of transpositions. A218004

a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such number exists. A350405

Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime. A85775

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood. A287628

Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains n-th group sum divided by n. A114032

Number of nX2 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201066

Number of length n+2 0..3 arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253124

Number of length 6+2 0..n arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253134

Numbers k such that 10·3^k - 1 is prime. A5542