Properties of the Number 27693

Twenty-Seven Thousand Six Hundred Ninety-Three

Basics

Value: 27692 → 27693 → 27694

Parity: odd

Prime: No

Previous Prime: 27691

Next Prime: 27697

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 181

Divisors: 1, 3, 9, 17, 51, 153, 181, 543, 1629, 3077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110000101101

Octal: 66055

Duodecimal: 14039

Hexadecimal: 6c2d

Square: 766902249

Square Root: 166.41213898030395

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 n such that 2·10ⁿ + 3 is prime. A81677

From a problem in AI planning: a(n) = 4+a(n-1)+a(n-2)+a(n-3)+a(n-4)-a(n-5)-a(n-6)-a(n-7), n>7. A7800

Indices of hexagonal numbers that are also pentagonal. A46179

Indices of triangular numbers in A276914 which are also pentagonal. A276915

a(n) = ∑_{k=0..floor(n/3)} binomial(3·n-3·k+1,n-3·k). A390703

Sum of binary digits of all primes < 2ⁿ, i.e., with at most n binary digits. A168155

Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n² filled successively along rows. A72333

a(n) = (n + 1)*(4·n² + 14·n + 9)/3. A268484

a(n) = n² + n + 8. A27693

Indices of pentagonal numbers that are also hexagonal. A46178