Properties of the Number 27846

Twenty-Seven Thousand Eight Hundred Forty-Six

Basics

Value: 27845 → 27846 → 27847

Parity: even

Prime: No

Previous Prime: 27827

Next Prime: 27847

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 13 × 17

Divisors: 1, 2, 3, 6, 7, 9, 13, 14, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110011000110

Octal: 66306

Duodecimal: 14146

Hexadecimal: 6cc6

Square: 775399716

Square Root: 166.87120782208055

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

Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer. A1599

Partial sums of A299259. A299265

Numbers whose divisors' harmonic and arithmetic means are both integers. A7340

Numbers k such that the digits of σ(k) are a permutation of those of k, in base 10. A115920

Numbers that are the sum of four third powers in seven or more ways. A345150

Numbers that are the sum of four third powers in exactly seven ways. A345151

Harmonic numbers m from A001599 such that m*(m-τ(m))/σ(m) is not an integer, where k-τ(k) = the number of nondivisors of k (A049820), τ(k) = the number of divisors of k (A000005) and σ(k) = the sum of the divisors of k (A000203). A325022

Harmonic numbers (A001599) which are not perfect (A000396). A90945

Analog of A085635, replacing "quadratic residue" (X²) with "value of X²+X". A290727

Harmonic numbers k such that k·p is not a harmonic number for all the primes p that do not divide k. A335369