Properties of the Number 27189

Twenty-Seven Thousand One Hundred Eighty-Nine

Basics

Value: 27188 → 27189 → 27190

Parity: odd

Prime: No

Previous Prime: 27179

Next Prime: 27191

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19 × 53

Divisors: 1, 3, 9, 19, 27, 53, 57, 159, 171, 477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000110101

Octal: 65065

Duodecimal: 13899

Hexadecimal: 6a35

Square: 739241721

Square Root: 164.89087300393555

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

a(n) is the concatenation of n and 7n. A9441

Number of labeled simple graphs with n vertices whose edge-set is not connected. A327199

a(n) = T(n,n-3), where T is the array in A026374. A26382

Smallest multiple of n beginning with n and having a digit sum n, or 0 if no such number exists. A77727

Primitive values n such that the square with opposite corners (0,0) and (n,n) contains a point (x,y) with integer coordinates, with 0 < x,y < n, at an integer distance from three of the four corners. A260549

Number of n X n symmetric binary matrices containing no more than seven 1s in any 3 X 3 sub-block. A139017

Numbers k such that 12321·2^k + 1 is prime. A180924

Number of partitions of n into an odd number of parts, the least being 3; also, a(n+3) = number of partitions of n into an even number of parts, each >=3. A27189

a(n) = ∑_{k = 0..n} binomial(n, k)²*binomial(n+k, k)*A108625(n, k). A376461