Properties of the Number 27281

Twenty-Seven Thousand Two Hundred Eighty-One

Basics

Value: 27280 → 27281 → 27282

Parity: odd

Prime: Yes

Previous Prime: 27277

Next Prime: 27283

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 27281

Divisors: 1, 27281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101010010001

Octal: 65221

Duodecimal: 13955

Hexadecimal: 6a91

Square: 744252961

Square Root: 165.1696097955069

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

a(n) = numerator of sum of reciprocals of the terms of the continued fraction for H(n) = ∑_k=1..n 1/k. A112286

Expansion of ∏_k>=1 1 / (1 - x^k)^{5^(k-1}). A343350

Least k such that there are no middle divisors of k (A071090) through k+n. A71563

The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)). A379224

Primes p such that x⁴⁸ = 2 has no solution mod p, but x²⁴ = 2 has a solution mod p. A59669

Tenth prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238682

Numbers n such that the Crandall number C = A262961(n) has exactly one prime divisor p >= n/2. A265079

Primes p such that 2·p+1 and (2·p)²+(2·p+1)² are also prime. A347110

Number of n X 3 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223772

a(n) is a prime number that cannot be the center term of a length 3 arithmetic progression prime group with a common difference whose number of runs in binary expansion is 2. A231387