Properties of the Number 8144

Eight Thousand One Hundred Forty-Four

Basics

Value: 8143 → 8144 → 8145

Parity: even

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 509

Divisors: 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111010000

Octal: 17720

Duodecimal: 4868

Hexadecimal: 1fd0

Square: 66324736

Square Root: 90.24411338142782

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) = ∑_k=1..9 a(n-k); a(8) = 1, a(n) = 0 for n < 8. A104144

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

Number of leaf-balanced trees with n nodes. A291443

Number of 2 X 2 singular integer matrices with elements from {1,...,n}. A134506

Lexicographically earliest sequence of distinct positive terms such that a(n) is a substring of a(n)*a(n+1). A332703

a(n) = ∑_{k=0..floor(3·n/8)} binomial(k,3·n-8·k). A392272

Triangular array related to tennis ball problem, read by rows. A79520

Trajectory of 63 under the map k -> A003415(k) (taking the arithmetic derivative). A90635

dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5). A26063

Number of cousin primes < 10ⁿ. A152052