Properties of the Number 27756

Twenty-Seven Thousand Seven Hundred Fifty-Six

Basics

Value: 27755 → 27756 → 27757

Parity: even

Prime: No

Previous Prime: 27751

Next Prime: 27763

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 257

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110001101100

Octal: 66154

Duodecimal: 14090

Hexadecimal: 6c6c

Square: 770395536

Square Root: 166.60132052297786

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 permutations of [n] such that the number of cycles of length k is a multiple of k for every k. A374262

Sums of groups in A075643. A75645

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood. A279998

Iterates A212439, starting from 0. A212444

Values of y in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138668

Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5. A107582

Number of compositions (ordered partitions) of n into distinct parts not greater than n/2. A368501

Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3,0. A37695

Convolution of A001654 and A007598. A350787

Square array: A(r,1) = A065621(r); for c > 1, A(r,c) = A048724(A(r,c-1)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. A277820