Properties of the Number 2766

Two Thousand Seven Hundred Sixty-Six

Basics

Value: 2765 → 2766 → 2767

Parity: even

Prime: No

Previous Prime: 2753

Next Prime: 2767

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 461

Divisors: 1, 2, 3, 6, 461, 922, 1383, 2766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001110

Octal: 5316

Duodecimal: 1726

Hexadecimal: ace

Square: 7650756

Square Root: 52.592775169218825

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

Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed). A23108

a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7. A5710

a(n) is the solution to the postage stamp problem with n denominations and 4 stamps. A1214

a(n) = A083710(n) - A000041(n-1). A83711

T(n,k) = Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors. A205894

Number of ways to place n nonattacking empresses on an n X n board. A137774

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240000

Triangle read by rows: T(n,k) is the number of permutations of [n] with k alternating runs (n>=2, k>=1). A59427

Numbers k such that prime(k) + k and prime(k) - k are both primes. A64403

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant. A185467