Properties of the Number 44523

Forty-Four Thousand Five Hundred Twenty-Three

Basics

Value: 44522 → 44523 → 44524

Parity: odd

Prime: No

Previous Prime: 44519

Next Prime: 44531

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 97

Divisors: 1, 3, 9, 17, 27, 51, 97, 153, 291, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1010110111101011

Octal: 126753

Duodecimal: 21923

Hexadecimal: adeb

Square: 1982297529

Square Root: 211.00473928326824

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 strings of n+2 numbers x(i) in -k..k with the sum of x(i) equal to zero and the sums of x(i)*x(i+1) and x(i)*x(i+2) equal to each other. A184061

A Fielder sequence. A1642

Number of partitions of n+5 with largest inscribed rectangle having area <= n. A218626

E.g.f. A(x) satisfies: ∑_n>=0 (exp(n·x) + A(x))ⁿ * xⁿ / n! = ∑_n>=0 (exp((n+1)*x) + 1)ⁿ * xⁿ / n!. A326550

Number of strings of n+2 numbers x(i) in -2..2 with the sum of x(i) equal to zero and the sums of x(i)*x(i+1) and x(i)*x(i+2) equal to each other. A184054

Number of permutations of length n which avoid the patterns 2134, 3241, 4132. A116810

RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3. A66710

Numbers n such that string 0,4 occurs in the base 7 representation of n but not of n+1. A44523