Properties of the Number 33057

Thirty-Three Thousand Fifty-Seven

Basics

Value: 33056 → 33057 → 33058

Parity: odd

Prime: No

Previous Prime: 33053

Next Prime: 33071

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3673

Divisors: 1, 3, 9, 3673, 11019, 33057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000100100001

Octal: 100441

Duodecimal: 17169

Hexadecimal: 8121

Square: 1092765249

Square Root: 181.8158408940211

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 partitions of n where n divides the product of the parts. A57568

Number of non-strict integer partitions of n with at least one part of odd multiplicity that is not the first or last. A349796

T(n,k)=Half the number of nXk 0..2 arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors. A183501

Triangle of second-order Eulerian numbers of type B. A214406

Triangle read by rows. The rows give the coefficients of the numerator polynomials for the o.g.f.s of the diagonal sequences of triangle A028338. A288875

Expansion of -1/(1 - x·sqrt(1-4·x)). A362156

a(n) = sum of the origin-to-boundary graph-distances of all partitions of n. A368986

Half the number of nX4 0..2 arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors. A183497

Numbers that are the sum of a positive square and a positive fifth power in more than one way. A363715

Concatenating n with n+1 (in base 10) gives a number which is the product of 2 palindromes. A113942