Properties of the Number 8049

Eight Thousand Forty-Nine

Basics

Value: 8048 → 8049 → 8050

Parity: odd

Prime: No

Previous Prime: 8039

Next Prime: 8053

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2683

Divisors: 1, 3, 2683, 8049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101110001

Octal: 17561

Duodecimal: 47A9

Hexadecimal: 1f71

Square: 64786401

Square Root: 89.71621926942753

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) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250812

Number of compositions [p(1), p(2), ..., p(k)] of n such that p(j) ≠ p(j-2). A224958

Expansion of ∏_m>=1 1/(1 + m·q^m). A22693

Fundamental discriminants of real quadratic number fields with class number 5. A94614

Number of connected planar graphs with n edges. A46091

Numbers k such that 9·k! + 1 is prime. A180626

a(n) is the number of canonical polygons with 4n alternating straight and diagonal edges. A307387

Expansion of (1-x)/(1-x-3·x²). A52533

Number of subsets of {1..n} (including empty set) such that the pairwise GCDs of elements are not distinct. A196720