Properties of the Number 50221

Fifty Thousand Two Hundred Twenty-One

Basics

Value: 50220 → 50221 → 50222

Parity: odd

Prime: Yes

Previous Prime: 50207

Next Prime: 50227

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 50221

Divisors: 1, 50221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010000101101

Octal: 142055

Duodecimal: 25091

Hexadecimal: c42d

Square: 2522148841

Square Root: 224.10042391749283

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 e.g.f. exp(x * (1-2·x)). A362176

Primes where the first digit equals the sum of all the other digits. A156307

Primes p such that (3^p + 3^{(p + 1}/2) + 1)/7 is prime. A125744

a(n) = (n⁴ - n³ + 4·n² + 2)/2. A239592

Decimal part of a(n)^1/3 starts with a 'nine digits' anagram. A34278

Primes of the form 54k+1 generated recursively. Initial prime is 109. General term is a(n) = Min {p is prime; p divides (R²⁷ - 1)/(R⁹ - 1); p == 1 (mod 27)}, where Q is the product of previous terms in the sequence and R = 3·Q. A125044

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, -1, -1), (1, 1, 1)}. A149529

Numbers k such that the Eisenstein integer ((1-ω)^k+1)/(2-ω) has prime norm, where ω = - 1/2 + sqrt(-3)/2. A239842

Consider the ratio res(p) = 2^A006666(p) / (p·3^A006667(p)) where p is prime. The prime numbers in this sequence are those for which res(p) sets a new record. A304524

a(n) = number of sets of consecutive primes whose arithmetic mean is A060863(n). A50221