Properties of the Number 15165

Fifteen Thousand One Hundred Sixty-Five

Basics

Value: 15164 → 15165 → 15166

Parity: odd

Prime: No

Previous Prime: 15161

Next Prime: 15173

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 337

Divisors: 1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101100111101

Octal: 35475

Duodecimal: 8939

Hexadecimal: 3b3d

Square: 229977225

Square Root: 123.14625451064275

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 Carlitz compositions of n that either have length 1, or have length greater than or equal to 2 and are palindromic if we exclude the first part. A291941

Number of integer partitions of n for which the parts have the same median as the multiplicities. A360456

Triangular array read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the shortest block has length k (1 <= k <= n). A178979

Main diagonal of A368179: the n-th term in the trajectory of n under the A006368 map. A368180

2ⁿ + 1 - 2·Fibonacci(n+1). A119587

Positive numbers k such that k and 3·k are anagrams in base 7 (written in base 7). A23069

Number of strings of numbers x(i=1..n) in 0..5 with sum i·x(i)² equal to n·25. A184437

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 590", based on the 5-celled von Neumann neighborhood. A273117

Convolution of Leonardo numbers with Jacobsthal numbers. A377728

Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases. A59828