Properties of the Number 33938

Thirty-Three Thousand Nine Hundred Thirty-Eight

Basics

Value: 33937 → 33938 → 33939

Parity: even

Prime: No

Previous Prime: 33937

Next Prime: 33941

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 71 × 239

Divisors: 1, 2, 71, 142, 239, 478, 16969, 33938

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010010010010

Octal: 102222

Duodecimal: 17782

Hexadecimal: 8492

Square: 1151787844

Square Root: 184.2226913276429

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 2. A50047

G.f. A(x) satisfies A(x) = ( 1 + x·A(x)^7/2/(1 - x·A(x)) )². A378690

Generating function: 1/((1-x)*(1-x²)²*(1-x³)³*(1-x⁴)⁴). A64349

A generalized partition function. A2598

Number of 3-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187858

Continued fraction of a constant t with partial denominators {a(n), n>=0} such that the continued fraction of 4·t yields partial denominators {6·a(n), n>=0}. A320410

Palindromic primes n such that the period of 1/n is a palindrome. A33938