Properties of the Number 27107

Twenty-Seven Thousand One Hundred Seven

Basics

Value: 27106 → 27107 → 27108

Parity: odd

Prime: Yes

Previous Prime: 27103

Next Prime: 27109

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 27107

Divisors: 1, 27107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111100011

Octal: 64743

Duodecimal: 1382B

Hexadecimal: 69e3

Square: 734789449

Square Root: 164.64203594465175

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

Triangle read by rows: T(n,k) is the number of unlabeled simple graphs on n vertices with independence number k. A263341

Number of n-node simple graphs having clique number 5. A77392

Row sums of triangle K(m, n), inverse to triangle T(m,n) in A020921. A38200

Triangle read by rows formed from nonzero entries in table of number of graphs on n nodes with clique number k. A115196

Triangle read by rows: T(n,k) is the number of graphs with n vertices with vertex cover number k-1. A287024

Primes p such that p³ - 1 has 8 divisors. A341659

Primes that remain prime through 3 iterations of function f(x) = 6x + 7. A23289

Primes of the form 15·k² - 15·k + 17. A220081

Triangle T(n,k) read by rows: T(n,k) = -binomial(n+1,k) + ∑_i=0..k ∑_j=0..i+1 (i+1)^n-i+j*(-1)^k-i/(j!*(k-i)!) for 0 <= k <= n. A380179

a(n) = ∑_k=0..2n (k+1) * A027082(n, 2n-k). A27107