Properties of the Number 45776

Forty-Five Thousand Seven Hundred Seventy-Six

Basics

Value: 45775 → 45776 → 45777

Parity: even

Prime: No

Previous Prime: 45767

Next Prime: 45779

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 2861

Divisors: 1, 2, 4, 8, 16, 2861, 5722, 11444, 22888, 45776

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001011010000

Octal: 131320

Duodecimal: 225A8

Hexadecimal: b2d0

Square: 2095442176

Square Root: 213.95326592506132

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

Partial sums of A243980. A244050

Sort-then-add sequence: a(n+1) = a(n) + sort(a(n)). A33860

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235175

Sort then Add, a(1)=25. A33902

Number of odd parts in the partitions of n into 10 parts. A309660

Sort then Add, a(1)=32. A33907

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235170

Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235171

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, 1), (0, 1, 0), (1, 1, 0), (1, 1, 1)}. A151251

a(n+1) is smallest multiple of (sum of digits of a(n)) which is > a(n). A45776