Properties of the Number 50491

Fifty Thousand Four Hundred Ninety-One

Basics

Value: 50490 → 50491 → 50492

Parity: odd

Prime: No

Previous Prime: 50461

Next Prime: 50497

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 7213

Divisors: 1, 7, 7213, 50491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100010100111011

Octal: 142473

Duodecimal: 25277

Hexadecimal: c53b

Square: 2549341081

Square Root: 224.7020249129945

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 7's in all partitions of n. A24791

Self-convolution square-root of A062817 (offset 2); thus g.f. A(x) satisfies: A(x)² = ∑_n>=2 A062817(n)*xⁿ, where A062817(n) = ∑_k=0..n (n-k)^k*k^n-k. A132608

Number of n-ary words beginning with the first character of the alphabet, that can be built by inserting four doublets into the initially empty word. A194716

Numbers k such that 125·2^k+1 is prime. A32412

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 1), (1, 1, -1), (1, 1, 0)}. A149286

a(n) = C(n)*(12n+1) where C(n) = Catalan numbers (A000108). A50491

Number of base 27 circular n-digit numbers with adjacent digits differing by 2 or less. A124955