Properties of the Number 46066

Forty-Six Thousand Sixty-Six

Basics

Value: 46065 → 46066 → 46067

Parity: even

Prime: No

Previous Prime: 46061

Next Prime: 46073

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 31 × 743

Divisors: 1, 2, 31, 62, 743, 1486, 23033, 46066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001111110010

Octal: 131762

Duodecimal: 227AA

Hexadecimal: b3f2

Square: 2122076356

Square Root: 214.62991403809488

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 inequivalent ways of placing n nonattacking rooks on n X n board up to rotations and reflections of the board. A903

a(n) = ∑_{k=0..floor(n/4)} binomial(2·n-5·k,3·k). A392404

Number of partitions of n with up to ten distinct kinds of 1. A320697

a(n) = ∑_{k=0..floor(n/8)} binomial(n-5·k, 3·k). A113032

Transform of A056594 by the T_1,1 transformation (see link). A159334

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every three consecutive elements having its maximum within 5 of its minimum. A263747

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302411

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302415

Fortunate primes (A005235) in numerical order with duplicates removed. A46066