Properties of the Number 27788

Twenty-Seven Thousand Seven Hundred Eighty-Eight

Basics

Value: 27787 → 27788 → 27789

Parity: even

Prime: No

Previous Prime: 27779

Next Prime: 27791

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 6947

Divisors: 1, 2, 4, 6947, 13894, 27788

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110010001100

Octal: 66214

Duodecimal: 140B8

Hexadecimal: 6c8c

Square: 772172944

Square Root: 166.69733051251902

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

G.f. A(x) satisfies A(x) = 1/(1 - x·A(x) - x³*A''(x)). A385762

Number of normal patterns matched by integer partitions of n. A335837

Convolution of A006068 (inverse of Gray code) with itself: a(n) = ∑_k=1..n+1 A006068(k) * A006068(1+n-k). A268721

Total number of parts of multiplicity 8 in all partitions of n. A222708

Numbers that set a new integer record for the ratio between the product and the sum of their digits. A240520

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (0, 1, 0), (1, 0, -1), (1, 0, 1)}. A150223

a(n) = A306912(n) - 2. A209489

a(n) = 15*(n+1)*binomial(n+2,15)/2. A27788