Properties of the Number 32730

Thirty-Two Thousand Seven Hundred Thirty

Basics

Value: 32729 → 32730 → 32731

Parity: even

Prime: No

Previous Prime: 32719

Next Prime: 32749

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 1091

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111111011010

Octal: 77732

Duodecimal: 16B36

Hexadecimal: 7fda

Square: 1071252900

Square Root: 180.914344373242

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

Number of aperiodic binary strings of length n; also number of binary sequences with primitive period n. A27375

Row sums of triangle T(m,n) = number of solutions to 1 <= a(1) < a(2) < ... < a(m) <= n, where gcd(a(1), a(2), ..., a(m), n) = 1, in A020921. A38199

Table read by antidiagonals where A(n,k) is the number of n X k aperiodic binary arrays. A323860

Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to complement. A45663

Number of primitive (aperiodic) words of length n which contain exactly two different symbols. A56267

Table read by antidiagonals where A(n,k) is the number of n X k binary arrays in which both the sequence of rows and the sequence of columns are (independently) aperiodic. A323862

Number of 4 X n binary matrices that are "primitive"; that is, they cannot be expressed as a "tiling" by a smaller matrix. A291070

Number of similarity classes of vectors with minimal Ducci period n. A269795

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 149", based on the 5-celled von Neumann neighborhood. A270319

Triangle read by rows: T(n,k) (3 <= k < n) gives number of solutions to certain 1-loop scattering equations refined by MHV degree. A294735