Properties of the Number 17221

Seventeen Thousand Two Hundred Twenty-One

Basics

Value: 17220 → 17221 → 17222

Parity: odd

Prime: No

Previous Prime: 17209

Next Prime: 17231

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 17 × 1013

Divisors: 1, 17, 1013, 17221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001101000101

Octal: 41505

Duodecimal: 9B71

Hexadecimal: 4345

Square: 296562841

Square Root: 131.2288078129189

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

Centered 20-gonal (or icosagonal) numbers. A69133

Centered 21-gonal numbers. A69178

Number of partitions of n² into squares not less than n. A93116

Expansion of (1 +4·x -x²)/((1-x²)*(1-2·x-x²)); a Pellian-related sequence. A114689

Sequence a(n) = 3·A002559(n) - 2 determining the principal reduced indefinite binary quadratic form [1, a(n), -a(n)] for Markoff triples. A324250

Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k. A24826

Expansion of g.f. (1+4·x)/((1-x)*(1+x)*(1-3·x)). A85287

The number of reversible primes (palindromic or emirps) by increasing permissible leading digit and by length. A220344

Expansion of g.f.: 1/(∑_{p odd prime} x^p)² (even powers only). A351317

Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime. A23538