Properties of the Number 27191

Twenty-Seven Thousand One Hundred Ninety-One

Basics

Value: 27190 → 27191 → 27192

Parity: odd

Prime: Yes

Previous Prime: 27179

Next Prime: 27197

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 27191

Divisors: 1, 27191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000110111

Octal: 65067

Duodecimal: 1389B

Hexadecimal: 6a37

Square: 739350481

Square Root: 164.89693750946378

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

Least odd number k such that x' = k has n solutions, where x' is the arithmetic derivative (A003415) of x. A189560

Primes p such that the absolute value of the fraction A241014(A000720(p)) / p is a record low. A339855

G.f.: A(x) = (1/x)*series_reversion(x²/G124344(x)), where G124344(x) is the g.f. of A124344 and satisfies: A(x)² = (1/x)*G124344(x·A(x)). A124890

Number of elements less than 1/2 in the Cross Set which is the subset of the set of distinct resistances that can be produced using n unit resistors in series and/or parallel. A176498

Least prime k such that x' = k has n solutions, where x' is the arithmetic derivative (A003415) of x. A189559

Primes p such that googol - p is prime. A108252

Primes with 26 as smallest positive primitive root. A61731

Primes p such that q = p² + p + 1 is an emirp. A178545

Primes of the form p·q - 30, where p and q are consecutive primes. A229613

Numbers which can be decomposed as p·q + q·r + r·p (where p < q < r are distinct primes) in more ways than any smaller number. A237992