Properties of the Number 44576

Forty-Four Thousand Five Hundred Seventy-Six

Basics

Value: 44575 → 44576 → 44577

Parity: even

Prime: No

Previous Prime: 44563

Next Prime: 44579

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 7 × 199

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111000100000

Octal: 127040

Duodecimal: 21968

Hexadecimal: ae20

Square: 1987019776

Square Root: 211.13029152634635

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 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns. A221655

Number of routes of length 2n on the sides of an octagon from a point to opposite point. A60995

Number of n step walks (each step +/-1 starting from 0) which are never more than 3 or less than -3. A68912

Number of unlabeled leafless loopless multigraphs with n edges. A307316

Numbers k for which A354102(k) = A354102(σ(k)). A354106

Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}. A54144

The sum of the entries in the top rows of all 2-compositions of n. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181292

a(n) = ∑_d∣n max(d, n/d)⁴. A297843

Number of n-element subsets of [2n] whose sum is a triangular number. A284251

Expansion of -2·x/(1 - 4·x + 2·x²). A106731