Properties of the Number 45504

Forty-Five Thousand Five Hundred Four

Basics

Value: 45503 → 45504 → 45505

Parity: even

Prime: No

Previous Prime: 45503

Next Prime: 45523

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 79

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011000111000000

Octal: 130700

Duodecimal: 22400

Hexadecimal: b1c0

Square: 2070614016

Square Root: 213.31666601557413

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+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237956

The Wiener index of the Dutch windmill graph D(6,n) (n>=1). A180578

Number of multisets of exactly eight nonempty binary words with a total of n letters such that no word has a majority of 0's. A316409

a(n) = 9*(n-2)² * (n² - 2·n - 1). A60788

The Wiener index of the cyclic phenylene with n hexagons (n>=3). A224456

Number of (n+1) X (2+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237953

Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237954

Triangle read by rows: T(n,k) is the number of single loop solutions formed by n proper arches (connecting odd vertices to even vertices in the range 1 to 2n) above the·axis, k of which connect an odd vertex to a higher even vertex, with a rainbow of n arches below the·axis. A244312

a(n) = (3·n+7)*n². A257042

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260979