Properties of the Number 27817

Twenty-Seven Thousand Eight Hundred Seventeen

Basics

Value: 27816 → 27817 → 27818

Parity: odd

Prime: Yes

Previous Prime: 27809

Next Prime: 27823

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 27817

Divisors: 1, 27817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010101001

Octal: 66251

Duodecimal: 14121

Hexadecimal: 6ca9

Square: 773785489

Square Root: 166.78429182629878

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 3^k - 32 is prime. A219049

Schoenheim bound L₁(n,5,4). A36832

Primes p such that 8·p²-2·p-1 divides Fibonacci(p). A159231

First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap. A84160

Numbers k such that 13k = 6j² + 6j + 1. A106390

a(n) = 2·prime(n)² - prime(n+1)². A64051

L.g.f.: ∑_n>=1 [ ∑_k>=1 kⁿ * x^2·k-1 ]ⁿ / n. A276907

Primes that remain prime through 4 iterations of function f(x) = 4x + 3. A23311

Prime numbers p such that p³ is an interprime = average of two successive primes. A248799

Primes that can be generated by the concatenation in base 3, in ascending order, of two consecutive integers read in base 10. A287300