Properties of the Number 50213

Fifty Thousand Two Hundred Thirteen

Basics

Value: 50212 → 50213 → 50214

Parity: odd

Prime: No

Previous Prime: 50207

Next Prime: 50221

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 149 × 337

Divisors: 1, 149, 337, 50213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010000100101

Octal: 142045

Duodecimal: 25085

Hexadecimal: c425

Square: 2521345369

Square Root: 224.08257406590099

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

a(n) is the number of times that sums 1+-4+-9+-16+-...+-n² of the first n squares is zero. There are 2^n-1 choices for the sign patterns. A83527

Automorphic numbers: n² ends with n in base 6 (written in base 6). A201821

Main diagonal of array in A083140. A83141

Number of ways of partitioning the set of the first n positive squares into two subsets whose sums differ at most by 1. A307877

This sequence and A259989 are base-6 analogs of A007185 and A016090, written in base 6. A259988

Powers of 3 written in base 6. A4660

Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=5. A50213

Number of 6Xn 0..2 arrays with rows unimodal and antidiagonals nondecreasing. A224378