Properties of the Number 44793

Forty-Four Thousand Seven Hundred Ninety-Three

Basics

Value: 44792 → 44793 → 44794

Parity: odd

Prime: No

Previous Prime: 44789

Next Prime: 44797

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 79

Divisors: 1, 3, 7, 9, 21, 27, 63, 79, 81, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111011111001

Octal: 127371

Duodecimal: 21B09

Hexadecimal: aef9

Square: 2006412849

Square Root: 211.64356829348725

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

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355

a(n) = ∑_{j=0..floor(n/2)} T(2·j + q), where T(n) are generalized tribonacci numbers (A001644) and q = n - 2·floor(n/2). A74475

Denominators of e.g.f. sec(arccosh(x)) = cosec(arcsinh(x)). A102074

Number of partitions of n satisfying cn(0,5) < cn(2,5) + cn(3,5). A39841

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), (-1, 0, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 1)}. A149305

Numbers n such that string 8,0 occurs in the base 10 representation of n but not of n+1. A44793