Properties of the Number 6165

Six Thousand One Hundred Sixty-Five

Basics

Value: 6164 → 6165 → 6166

Parity: odd

Prime: No

Previous Prime: 6163

Next Prime: 6173

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 137

Divisors: 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000010101

Octal: 14025

Duodecimal: 3699

Hexadecimal: 1815

Square: 38007225

Square Root: 78.5175139698144

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

Rhombic matchstick numbers: a(n) = n*(3·n+2). A45944

Triangular array giving number of labeled graphs on n unisolated nodes and k=0...n*(n-1)/2 edges. A54548

Triangular array T(n,k) giving number of connected graphs with n labeled nodes and k edges (n >= 1, 0 <= k <= n(n-1)/2). A62734

Main diagonal of array in A163280. A164000

Triangle read by rows: T(n,k) is the number of connected labeled graphs with n edges and k vertices, 1 <= k <= n+1. A343088

Positive numbers whose product of digits is 10 times their sum. A62043

Coefficient triangle of polynomials (falling powers) related to convolutions of A001045(n+1), n>=0, (generalized (1,2)-Fibonacci). Companion triangle is A073400. A73399

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317458

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁹ in powers of x. A1487

Triangular array T(n,k) giving number of connected graphs with n labeled nodes and k edges (n >= 1, n-1 <= k <= n(n-1)/2). A123527