Properties of the Number 38033

Thirty-Eight Thousand Thirty-Three

Basics

Value: 38032 → 38033 → 38034

Parity: odd

Prime: No

Previous Prime: 38011

Next Prime: 38039

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 73 × 521

Divisors: 1, 73, 521, 38033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010010010001

Octal: 112221

Duodecimal: 1A015

Hexadecimal: 9491

Square: 1446509089

Square Root: 195.020511741714

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 p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p). A240313

G.f. A(x) equals the composition of functions x*(1 + a(n)*xⁿ); let F₁(x) = x, F_n+1(x) = F_n( x*(1 + a(n)*xⁿ) ), then A(x) = limit F_n(x): A(x) = x*(1+a(1)*x) o x*(1+a(2)*x²) o ... o x*(1+a(n)*xⁿ) o ... A119472

a(n) = A000166(n-1)*n*(n-1). A38033