Properties of the Number 27771

Twenty-Seven Thousand Seven Hundred Seventy-One

Basics

Value: 27770 → 27771 → 27772

Parity: odd

Prime: No

Previous Prime: 27767

Next Prime: 27773

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 9257

Divisors: 1, 3, 9257, 27771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001111011

Octal: 66173

Duodecimal: 140A3

Hexadecimal: 6c7b

Square: 771228441

Square Root: 166.64633209284867

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

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero. A232955

Number of isomorphism classes of nanocones with 3 pentagons and a nearsymmetric boundary of length n. A198014

Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036. A235039

Numbers k such that k and k² use only the digits 1, 2, 4, 7 and 8. A136997

Number of disconnected regular simple graphs on n vertices with girth exactly 4. A210714

Number of nX6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero. A232953

Number of 2 X n 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero. A232956

Powers of 2 with all even digits. A68994

a(n) = (n+1)*binomial(n+1,11). A27771

Number of (n+3)X(3+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230944