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Properties of the Number 27131

Twenty-Seven Thousand One Hundred Thirty-One

Basics

Value: 27130 → 27131 → 27132

Parity: odd

Prime: No

Previous Prime: 27127

Next Prime: 27143

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 2087

Divisors: 1, 13, 2087, 27131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110100111111011

Octal: 64773

Duodecimal: 1384B

Hexadecimal: 69fb

Square: 736091161

Square Root: 164.71490521504117

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 n-bead ternary necklaces (no turning over allowed) that avoid the subsequence 110. A274018
a(n) = binomial(n,6)-1. A124089
a(n) = (∑k=0..n-1(840·k+197)(-1)k*2430n-1-k*Tk(8,1)*Tk(5,-5)2)/(n·5n-1), where Tk(b,c) denotes the coefficient of xk in the expansion of (x2+b·x+c)k. A329107
Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= n/3. A47193
Number of 0..n arrays x(0..4) of 5 elements without any interior element greater than both neighbors or less than both neighbors. A200873
Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood. A269816
Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-1)/3. A48005
Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n+1)/3. A48038
a(n) = diagonal sum of left justified array T given by A027113. A27131