Properties of the Number 6109

Six Thousand One Hundred Nine

Basics

Value: 6108 → 6109 → 6110

Parity: odd

Prime: No

Previous Prime: 6101

Next Prime: 6113

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 41 × 149

Divisors: 1, 41, 149, 6109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111011101

Octal: 13735

Duodecimal: 3651

Hexadecimal: 17dd

Square: 37319881

Square Root: 78.16009211867653

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) = 6·2ⁿ - 3·n - 5. A101946

T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222500

Least nontrivial multiple of the n-th prime beginning with 6. A78290

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise. A235548

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise. A235765

Root of the lower member A340700 of a pair of adjacent perfect powers, both with exponents > 2. A340702

a(n) is the maximal permanent of an n X n Toeplitz matrix using the integers 0 to 2*(n - 1). A358570

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 2 - x². A368151

Exponents k such that the sum of decimal digits of 2^k is also a power of 2. A95412

Expansion of ∏_k>=1 (1 + (x*(1 - x))^k). A307501