Properties of the Number 33132

Thirty-Three Thousand One Hundred Thirty-Two

Basics

Value: 33131 → 33132 → 33133

Parity: even

Prime: No

Previous Prime: 33119

Next Prime: 33149

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 251

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000101101100

Octal: 100554

Duodecimal: 17210

Hexadecimal: 816c

Square: 1097729424

Square Root: 182.02197669512327

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 regions in an equal-armed cross with arms of length n (see Comments for definition). A331456

a(n) is the concatenation of n and 4n. A19552

Integers k such that there are i groups of order k+i up to isomorphism, for i=1,2,3. A373649

G.f. A(x) satisfies A(x) = ( 1 + 9·x*A(x)/(1 - x·A(x)) )^1/3. A372019

Numbers n for which there are exactly twelve k such that n = k + reverse(k). A72435

Number of (binary) heaps of length n-k whose element set equals [k], where k is chosen so as to maximize this number. A373897

Number of (binary) heaps of length n whose element set equals {1,2,3}. A376962

Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0. A33132

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