Properties of the Number 27761

Twenty-Seven Thousand Seven Hundred Sixty-One

Basics

Value: 27760 → 27761 → 27762

Parity: odd

Prime: No

Previous Prime: 27751

Next Prime: 27763

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 23 × 71

Divisors: 1, 17, 23, 71, 391, 1207, 1633, 27761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001110001

Octal: 66161

Duodecimal: 14095

Hexadecimal: 6c71

Square: 770673121

Square Root: 166.61632573070384

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

Polar structured meta-anti-diamond numbers, the n-th number from a polar structured n-gonal anti-diamond number sequence. A100188

Sum of smallest parts of all partitions of n into an even number of parts. A222045

Principal diagonal of the convolution array A213774. A213775

a(n) gives the odd leg of one of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the smaller of the two possible odd legs. A253802

Number of n-step 8-dimensional nonnegative lattice walks starting at the origin and using steps that increment all components or decrement one component by 1. A346229

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = (odd natural numbers). A24592

Numbers k such that 67·2^k-1 is prime. A50559

Numbers k such that (182·10^k + 1)/3 is prime. A282358

a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756

Numerator of ∑_{p prime, p-1 divides 2·n} 1/p. A27761