Properties of the Number 44624

Forty-Four Thousand Six Hundred Twenty-Four

Basics

Value: 44623 → 44624 → 44625

Parity: even

Prime: No

Previous Prime: 44623

Next Prime: 44633

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 2789

Divisors: 1, 2, 4, 8, 16, 2789, 5578, 11156, 22312, 44624

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111001010000

Octal: 127120

Duodecimal: 219A8

Hexadecimal: ae50

Square: 1991301376

Square Root: 211.2439348241743

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

Number of 2's in all partitions of n. A24786

Sum of n and partition number of n. A133041

p + P(p) where p is the n-th prime and P(p) is the unrestricted partition number of p. A98145

Expansion of (-1 + ∏_k>=1 1 / (1 - x^k))¹⁰. A341236

a(n) = A000041(n) + n·A032741(n). A168015

Total number of Z shapes in all tilings of a 5 X n rectangle with pentominoes of any shape. A247746

Expansion of ∑_k>=0 x^k / ∏_j=1..k (1 + j·x^j). A306702

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 0, -1), (1, -1, 0), (1, 1, 0)}. A149370

Numbers a(n) for which there exists k>1 such that the number of partitions of a(n) into k parts is k. A209122

Numbers n such that string 7,0 occurs in the base 8 representation of n but not of n+1. A44624