Properties of the Number 21117

Twenty-One Thousand One Hundred Seventeen

Basics

Value: 21116 → 21117 → 21118

Parity: odd

Prime: No

Previous Prime: 21107

Next Prime: 21121

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7039

Divisors: 1, 3, 7039, 21117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001001111101

Octal: 51175

Duodecimal: 10279

Hexadecimal: 527d

Square: 445927689

Square Root: 145.3168950948237

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

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

Numbers of the form HMMSS with primes H < 24 and MM, SS < 60, for which the number of seconds after midnight, 3600·H+60·MM+SS, is also prime. A295011

G.f. A(x) satisfies: A(x) = (1/(1 - x)) * A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307604

Prefix primes in base 8 (written in base 8). A24768

Principal diagonal of the convolution array A213555. A213556

Number of (w,x,y,z) with all terms in {1,...,n} and min{|w-x|,|w-y|}=min{|x-y|,|x-z|}. A212579

G.f.: ∏_j>=1 (1 + p(x^j)), where p(x) is the g.f. of A000040. A309950

Positions of 4-digit terms in the continued fraction for π (3 is at position 0). A48959

a(n) is the least number k such that {k, k², ..., kⁿ} are all odious numbers (A000069), but kⁿ⁺¹ is not. A345399

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22. A51963