Properties of the Number -2117

One Hundred Seventeen

Basics

Value: -2118 → -2117 → -2116

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 29 × 73

Divisors: 1, 29, 73, 2117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100001000101

Octal: -4105

Duodecimal: -1285

Hexadecimal: -845

Square: 4481689

Square Root: 46.010868281309364

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

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 σ(n)*xⁿ, where σ = A000203. A353924

Values of n such that L(4) and N(4) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226924

a(n) = n² + 1. A2522

a(n) = 4·n² + 1. A53755

a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. A1000

Diagonal in square spiral or maze arrangement of natural numbers. A80335

Numbers whose multiset multisystem (A302242) is crossing. A324170

Hyperbinomial transform of the sequence of 1's. A88957

MM-numbers of labeled graphs with loops spanning an initial interval of positive integers. A320461

a(n) = n*(5·n+1)/2. A5475