Properties of the Number 8184

Eight Thousand One Hundred Eighty-Four

Basics

Value: 8183 → 8184 → 8185

Parity: even

Prime: No

Previous Prime: 8179

Next Prime: 8191

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 31

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111111111000

Octal: 17770

Duodecimal: 48A0

Hexadecimal: 1ff8

Square: 66977856

Square Root: 90.46546302318913

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*(n-1)*(n-2)/4). A11886

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Molien series for cyclic group of order 5. A8646

a(n) = 8*(2ⁿ - 1). A159741

Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55102

Numbers k such that σ(x) = k has exactly 6 solutions. A60662

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Member k=6 of a family of generalized Catalan numbers. A130565

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283950

a(n) = ∑_k=0..n (k+1) * A026637(n,k). A26970