Properties of the Number 8727

Eight Thousand Seven Hundred Twenty-Seven

Basics

Value: 8726 → 8727 → 8728

Parity: odd

Prime: No

Previous Prime: 8719

Next Prime: 8731

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2909

Divisors: 1, 3, 2909, 8727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000010111

Octal: 21027

Duodecimal: 5073

Hexadecimal: 2217

Square: 76160529

Square Root: 93.41841360245849

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 locally disjoint rooted identity trees with n nodes, meaning no branch overlaps any other branch of the same root. A316471

G.f. A(x) satisfies: 1 = ∑_n=-oo..+oo (xⁿ - 2·x*A(x))ⁿ. A355868

Partial sums of A213709. A218600

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

The number of tilings of a triangular shape T_n with n rectangles identifying all tilings which use the same rectangular shapes. A247139

Numbers of the form ab such that φ(ab) = a·b where ab is the concatenation of a and b. A336237

Triangle read by rows. Convolution triangle of the Bell numbers. A357583

Semiprimes that are the sum of two successive terms of A092192. A366167

Numbers n such that 6n -/+ 1 are twin prime pair and n = r + s where 6r -/+ 1 and 6s -/ 1 are consecutive smaller pairs of twin primes. A226652

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood. A270722