Properties of the Number 32133

Thirty-Two Thousand One Hundred Thirty-Three

Basics

Value: 32132 → 32133 → 32134

Parity: odd

Prime: No

Previous Prime: 32119

Next Prime: 32141

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 10711

Divisors: 1, 3, 10711, 32133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110110000101

Octal: 76605

Duodecimal: 16719

Hexadecimal: 7d85

Square: 1032529689

Square Root: 179.2567990342347

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

n written in fractional base 4/3. A24631

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is ∑_i=0..n binomial(n,i)*∑_j=0..i binomial(i,j)^k. A328807

Total number of binary digits used to write all partitions of n in binary notation. A318756

Semiprimes whose reversal + 1 is a square. A245362

Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and every four consecutive elements having its maximum within 4 of its minimum. A263711

Constant term in the expansion of (3 + x + y + z + 1/x + 1/y + 1/z + x·y + y·z + z·x + 1/(x·y) + 1/(y·z) + 1/(z·x) + x·y*z + 1/(x·y*z))ⁿ. A328808

Number of series-reduced dyslexic planted planar trees with n leaves of 2 colors. A32133

The number of ways to color n balls in a row with 3 colors with no color runs having lengths greater than 4. This sequence is a special case of the general problem for coloring n balls in a row with p colors where each color has a given maximum run-length. In this example, the bounds are uniformly 4. It can be phrased in terms of tossing a p-faced die n times, requiring each face to have no runs longer than b. A181140