Properties of the Number 50346

Fifty Thousand Three Hundred Forty-Six

Basics

Value: 50345 → 50346 → 50347

Parity: even

Prime: No

Previous Prime: 50341

Next Prime: 50359

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2797

Divisors: 1, 2, 3, 6, 9, 18, 2797, 5594, 8391, 16782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010010101010

Octal: 142252

Duodecimal: 25176

Hexadecimal: c4aa

Square: 2534719716

Square Root: 224.37914341578184

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

Expansion of ∏_k>=1 1/(1 - x^k*(k+1/2))². A298435

Total number of nodes in all n-step walks on cubic lattice starting at (0,0,0), ending at (0,floor(n/2),ceiling(n/2)), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1). A328281

Total number of nodes in all walks on cubic lattice starting at (0,0,0), ending at (0,n,n), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1). A328270

Denominators of an Egyptian fraction for 1/Sqrt[14] = 0.26726124... A144992

Values n, where n = p·q, and n, p, and q together contain all 10 digits at least once, and no digit is in more than one of n, p or q. A253173

Number of factorizations into distinct factors with one level of parentheses indexed by prime signatures. A050345(A025487). A50346

a(n) = smallest k >= 0 for which there is a sequence n = b₁ < b₂ < ... < b_t = n + k such that b₁ + b₂ +...+ b_t is a perfect square. A277516