Properties of the Number 33105

Thirty-Three Thousand One Hundred Five

Basics

Value: 33104 → 33105 → 33106

Parity: odd

Prime: No

Previous Prime: 33091

Next Prime: 33107

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 2207

Divisors: 1, 3, 5, 15, 2207, 6621, 11035, 33105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000101010001

Octal: 100521

Duodecimal: 171A9

Hexadecimal: 8151

Square: 1095941025

Square Root: 181.94779471046084

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) = ceiling(n*φ¹⁶), where φ is the golden ratio, A001622. A4971

Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of three and m runs through the set of least numbers whose prime signature is a partition of n. A309693

a(n) = round(n*φ¹⁶), where φ is the golden ratio, A001622. A4951

Column 2 of triangle A055907. A55908

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A272824

a(n) = ∑_j=1..n ∑_k=1..n φ(2·j*k) / φ(k). A372664

Number of 6's when n is written in base b for 2<=b<=n+1. A33105

Column 4 of triangle A113993, also equals column 0 of A113983⁵. A113996