Properties of the Number 44824

Forty-Four Thousand Eight Hundred Twenty-Four

Basics

Value: 44823 → 44824 → 44825

Parity: even

Prime: No

Previous Prime: 44819

Next Prime: 44839

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 13 × 431

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 431, 862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1010111100011000

Octal: 127430

Duodecimal: 21B34

Hexadecimal: af18

Square: 2009190976

Square Root: 211.7167919651155

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

a(n) = ∑_k=0..n binomial(2·n+k-1,k) * binomial(2·n+k,n-k). A379022

a(n) = τ(n) * (NumberOfPartitions(n) - 1). A141668

Number of 10-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187305

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence). A25085

Numbers n such that 57·2ⁿ-1 is prime. A50554

Positive integers having distinct base-13 run lengths. A44824

T(n,k)=Number of n-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on a kXk board summed over all starting positions. A187296