Properties of the Number 27789

Twenty-Seven Thousand Seven Hundred Eighty-Nine

Basics

Value: 27788 → 27789 → 27790

Parity: odd

Prime: No

Previous Prime: 27779

Next Prime: 27791

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 59 × 157

Divisors: 1, 3, 59, 157, 177, 471, 9263, 27789

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110010001101

Octal: 66215

Duodecimal: 140B9

Hexadecimal: 6c8d

Square: 772228521

Square Root: 166.7003299336867

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

Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered. A182269

G.f. satisfies: A(x) = 1 + x·A(x)³ + 2·x²*A(x)² + x³*A(x). A200028

Largest term in row n of A261019. A261392

Number of binary strings of length n+6 such that the smallest number whose binary representation is not visible in the string is 8. A261473

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, where a(0) = 1, a(1) = 5, b(0) = 2, b(1) = 3, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A295959

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,-2,1. A222147

a(n) = 2*(n+1)*binomial(n+3,4). A27789

G.f. satisfies: A(x) = 1 + ∑_n>=1 x^n-1*series_reversion( x/A(x)ⁿ ). A125224

E.g.f. A(x) satisfies: A(x) = P(x)/Q(x) where P(x) = ∑_n>=0 (2ⁿ*xⁿ/n!) * exp(x·A(x)ⁿ) and Q(x) = ∑_n>=0 (xⁿ/n!) * exp(x·A(x)ⁿ). A341377