Properties of the Number 27736

Twenty-Seven Thousand Seven Hundred Thirty-Six

Basics

Value: 27735 → 27736 → 27737

Parity: even

Prime: No

Previous Prime: 27733

Next Prime: 27737

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 3467

Divisors: 1, 2, 4, 8, 3467, 6934, 13868, 27736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001011000

Octal: 66130

Duodecimal: 14074

Hexadecimal: 6c58

Square: 769285696

Square Root: 166.5412861725284

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 length n+3 0..k arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..k introduced in 0..k order. A243033

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,4,6,4,1. A221994

Number of length n+3 0..3 arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..3 introduced in 0..3 order. A243028

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 803", based on the 5-celled von Neumann neighborhood. A273578

Number of partitions of 2·n into exactly n prime powers (including 1). A341154

100000n+1, 100000n+3, 100000n+7, 100000n+9 are all primes. A64964

Numbers n such that n and 2ⁿ end with the same three digits. A67866

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, 0, 0), (1, 0, 1), (1, 1, -1)}. A150410

Number of independent subsets of nodes in graph formed from n-fold subdivision of 9-dimensional simplex. A27736