Properties of the Number 27306

Twenty-Seven Thousand Three Hundred Six

Basics

Value: 27305 → 27306 → 27307

Parity: even

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 37 × 41

Divisors: 1, 2, 3, 6, 9, 18, 37, 41, 74, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010101010

Octal: 65252

Duodecimal: 13976

Hexadecimal: 6aaa

Square: 745617636

Square Root: 165.24527224704494

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 132 and 213-avoiding derangements of {1,2,...,n}. A61547

a(n) = (5·4ⁿ - 2)/3. A20989

Number of integer partitions of n with no difference -2. A350842

Numbers k such that A081252(m)/m² has a local maximum for m = k. A81254

Inverse binomial transform of a math magic problem. A84214

Numbers k such that 6·k+5, 6·k+11, 6·k+17, 6·k+23 are consecutive primes. A90836

Positions of check bits in code in A075943. A75945

a(n) = (5·2ⁿ + (-1)ⁿ - 3)/3. A84170

Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4·T(n-1, k-1) + 2·T(n-1, k). A119726

Partial sums of A140091. A267370