Properties of the Number 33231

Thirty-Three Thousand Two Hundred Thirty-One

Basics

Value: 33230 → 33231 → 33232

Parity: odd

Prime: No

Previous Prime: 33223

Next Prime: 33247

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 19 × 53

Divisors: 1, 3, 11, 19, 33, 53, 57, 159, 209, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000111001111

Octal: 100717

Duodecimal: 17293

Hexadecimal: 81cf

Square: 1104299361

Square Root: 182.29371903606554

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 with nonnegative rank. A64174

Number of Young tableaux of height <= 6. A7579

a(n) is the concatenation of n and 7n. A9441

Partial sums of rows of A047884. Young Tableaux by height. A49400

Expansion of 1/((1+2·x)*(1+3·x)*(1-4·x)). A249996

Half the number of length n integer sequences with sum zero and sum of squares 8. A157534

G.f. A(x) satisfies: A(x) = 1/(1 - x·A(x) - x²*A(x)/(1 - 2·x*A(x) - 2·x²*A(x)/(1 - 3·x*A(x) - 3·x²*A(x)/(1 - ...)))), a continued fraction. A301409

Triangle T(n,k) read by rows: coefficient [x^n-k+1] of the Zwegers polynomial r_n(x), 1 <= k <= n. A210938

Primes of form x²+46·y². A33231

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