Properties of the Number 6105

Six Thousand One Hundred Five

Basics

Value: 6104 → 6105 → 6106

Parity: odd

Prime: No

Previous Prime: 6101

Next Prime: 6113

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 37

Divisors: 1, 3, 5, 11, 15, 33, 37, 55, 111, 165

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111011001

Octal: 13731

Duodecimal: 3649

Hexadecimal: 17d9

Square: 37271025

Square Root: 78.13449942247023

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

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

Triangle of numbers T(n,k) = number of permutations of (1,2,...,n) with longest increasing subsequence of length k (1<=k<=n). A47874

Number of partitions of n into a prime number of parts. A38499

Expansion of (1 - x)/(1 - 2·x - x³). A52980

Partial sums of A097988 (d₃(n)²). A330570

a(n) = (2·n-1)*(4·n-1). A33567

T(n,k)=Number of length n+4 0..k arrays with no consecutive five elements summing to more than 2·k. A241936

Number of integer partitions of n such that the least part plus the greatest part is odd. A390092

Number of pentagonal regions in regular n-gon with all diagonals drawn. A67152

Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451". A246318