Properties of the Number 45516

Forty-Five Thousand Five Hundred Sixteen

Basics

Value: 45515 → 45516 → 45517

Parity: even

Prime: No

Previous Prime: 45503

Next Prime: 45523

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3793

Divisors: 1, 2, 3, 4, 6, 12, 3793, 7586, 11379, 15172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000111001100

Octal: 130714

Duodecimal: 22410

Hexadecimal: b1cc

Square: 2071706256

Square Root: 213.34479135896427

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252369

The number of gaps in the set of positive integers which need at most n steps of the Collatz iteration to reach 1. A391769

Number of oriented n-dimensional polytopes with n+3 vertices, meaning that two polytopes are identified if they have the same combinatorial type and there exists an orientation-preserving homeomorphism mapping the first polytope to the second polytope. A114290

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252365

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252361

Factorials with initial digit '4'. A45516