Properties of the Number 27765

Twenty-Seven Thousand Seven Hundred Sixty-Five

Basics

Value: 27764 → 27765 → 27766

Parity: odd

Prime: No

Previous Prime: 27763

Next Prime: 27767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 617

Divisors: 1, 3, 5, 9, 15, 45, 617, 1851, 3085, 5553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110001110101

Octal: 66165

Duodecimal: 14099

Hexadecimal: 6c75

Square: 770895225

Square Root: 166.6283289239858

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

Expansion of ∏_m>=1 (1+q^m)^-5. A22600

Triangle, read by rows, of coefficients in powers of e.g.f. for A100065 such that, for each row n>=0, ∑_k=0..n T(n,k)/k! = [exp(n)] (integer floor of eⁿ). A100064

a(n) = (n+1)*binomial(n+1,5). A27765

E.g.f. A(x) satisfies: ∑_k=0..n (A(x)ⁿ)_k/k! = [exp(n)] (integer floor of eⁿ) for all n>=0, where (A(x)ⁿ)_k/k! is the coefficient of x^k in A(x)ⁿ. A100065

Number of nX4 0..1 arrays with every element unequal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A320360