Properties of the Number 33839

Thirty-Three Thousand Eight Hundred Thirty-Nine

Basics

Value: 33838 → 33839 → 33840

Parity: odd

Prime: No

Previous Prime: 33829

Next Prime: 33851

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13 × 19 × 137

Divisors: 1, 13, 19, 137, 247, 1781, 2603, 33839

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000101111

Octal: 102057

Duodecimal: 176BB

Hexadecimal: 842f

Square: 1145077921

Square Root: 183.95379854735265

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

Expansion of ψ(x⁴) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A226635

Number of perfect powers (A001597) not exceeding 2ⁿ. A70228

Numbers n such that σ(n+1) = 2*σ(n-1). A67134

a(n) = n(n+7)(n+1)(n²+2n+12)/120. A51746

a(n) = n*((4·n + 1)*(7·n - 4) + 15·n*(-1)ⁿ)/48. A302766

T(2n,n), T given by A026703. A26704

T(n,[ n/2 ]), T given by A026703. A26709

Smallest number > 1 equal to sum of n-th powers of its base-7 digits, or 0 if no such number exists (written in base 10). A33839