Properties of the Number 33835

Thirty-Three Thousand Eight Hundred Thirty-Five

Basics

Value: 33834 → 33835 → 33836

Parity: odd

Prime: No

Previous Prime: 33829

Next Prime: 33851

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 67 × 101

Divisors: 1, 5, 67, 101, 335, 505, 6767, 33835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000101011

Octal: 102053

Duodecimal: 176B7

Hexadecimal: 842b

Square: 1144807225

Square Root: 183.9429259308441

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 integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing. A332745

a(n) = n*(2·n² + 1)*(n² + 1)/6. A52459

G.f. A(x) satisfies: (1 + x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307649

Numbers k such that sum of divisors of k is a square and a triangular number (A000217). That is, numbers k such that A000203(k) is in A001110. A232847

Numbers k such that the k-th composition in standard order is a concatenation of distinct twins (x,x). A351009

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones. A31803

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, -1), (1, 0, 0), (1, 1, 1)}. A150592

Smallest number > 1 equal to sum of n-th powers of its base-3 digits, or 0 if no such number exists (written in base 10). A33835