Properties of the Number 8008

Eight Thousand Eight

Basics

Value: 8007 → 8008 → 8009

Parity: even

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 16

Digital Root: 7

Palindrome: Yes

Factorization: 2 ³ × 7 × 11 × 13

Divisors: 1, 2, 4, 7, 8, 11, 13, 14, 22, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101001000

Octal: 17510

Duodecimal: 4774

Hexadecimal: 1f48

Square: 64128064

Square Root: 89.48742928478838

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

Figurate numbers or binomial coefficients C(n,6). A579

Partial sums of A299255. A299261

Binomial coefficients C(2n, n-2). A2694

Palindromic in bases 12 and 10. A29967

Triangle read by rows: T(n, k) = binomial(2n, 2k). A86645

a(n) = binomial(n+5,5)*(n+3)/3. A40977

Triangle read by rows: T(n,k) = C(2·n - k,n), 0 <= k <= n. A92392

a(n) = n * σ(A003961(n)), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341528

Strobogrammatic numbers: the same upside down. A787

a(n) = binomial coefficient C(n,10). A1287