Properties of the Number 22117

Twenty-Two Thousand One Hundred Seventeen

Basics

Value: 22116 → 22117 → 22118

Parity: odd

Prime: No

Previous Prime: 22111

Next Prime: 22123

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 17 × 1301

Divisors: 1, 17, 1301, 22117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011001100101

Octal: 53145

Duodecimal: 10971

Hexadecimal: 5665

Square: 489161689

Square Root: 148.71785366928881

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

Numbers k such that 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)-1 and 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)+1 are twin primes with p(h) = h-th prime. A129313

Output of the linear congruential pseudo-random number generator used in function rand() as described in Kernighan and Ritchie, when seeded with 0. A96554

G.f.: exp( ∑_n>=1 A174468(n)*xⁿ/n ) where A174468(n) = ∑_d∣n d*σ(n/d)*σ(d). A174467

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 2, a[2] = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295365

Interprimes which are of the form s·prime, s=17. A75292

Diagonal of array A085205. A85228

Fibonacci sequence beginning 2, 15. A22117

Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303199