Properties of the Number 27327

Twenty-Seven Thousand Three Hundred Twenty-Seven

Basics

Value: 27326 → 27327 → 27328

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 9109

Divisors: 1, 3, 9109, 27327

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010111111

Octal: 65277

Duodecimal: 13993

Hexadecimal: 6abf

Square: 746764929

Square Root: 165.3088019435142

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

Expansion of (1+3·x)/(1-x²-2·x³). A159285

Sum of the sizes of the Durfee squares of all partitions of n that do not contain 1 as a part, but with a(1) = 1. A208474

Number of nondecreasing strings of numbers x(i=1..8) in -n..n with sum x(i)³ equal to 0. A188282

Augmentation of the Euler partition triangle A026820. See Comments. A193591

G.f. satisfies A(x) = x + ∏_n>=2 A(xⁿ) with A(0) = 1. A385635

Sum of the areas of all r X s rectangles such that r + s = 2n, with r, s composite. A334229

a(n) = ∑_k=0..m (k+1) * A026120(n, m-k), where m=0 for n=0,1; m=n for n >= 2. A27327

Binary encodings of reducible polynomials over GF(2)that are fixed by blue code: a(n) = A091242(A234749(n)). A234752

Numbers that are sums of 2,4,6,8 consecutive primes. A287900