Properties of the Number 15066

Fifteen Thousand Sixty-Six

Basics

Value: 15065 → 15066 → 15067

Parity: even

Prime: No

Previous Prime: 15061

Next Prime: 15073

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 31

Divisors: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11101011011010

Octal: 35332

Duodecimal: 8876

Hexadecimal: 3ada

Square: 226984356

Square Root: 122.74363527287271

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

T(n,k)=Number of nXk 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes. A278855

Triangle read by rows: T(n,m) is the number of pattern classes in the (n,m)-rectangular grid with 3 colors and n>=m, two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A283432

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum. A257017

Expansion of 1/(1 - x/(1 - x)³)³. A382615

Indices of prime Lucas 5-step numbers, A074048. A105764

Scaled convolution of (n³)*A000984(n) with A000984(n). A142962

Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1. A71393

Number of arrays of 5 integers in -n..n with sum zero and the sum of every adjacent pair being odd. A202077

Number of (n+2)X(1+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum. A257014

Number of nX3 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes. A278850