Properties of the Number 12008

Twelve Thousand Eight

Basics

Value: 12007 → 12008 → 12009

Parity: even

Prime: No

Previous Prime: 12007

Next Prime: 12011

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 19 × 79

Divisors: 1, 2, 4, 8, 19, 38, 76, 79, 152, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011101000

Octal: 27350

Duodecimal: 6B48

Hexadecimal: 2ee8

Square: 144192064

Square Root: 109.5810202544218

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

Numbers k whose abundance σ(k) - 2·k = -16. Numbers k whose deficiency is 16. A125248

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + j·prime(j)*T(n-2, k-1) with j=3, read by rows. A153648

Numbers k such that σ(k) + τ(k) = 2k. A83874

Number T(n,k) of (binary) heaps of length n whose element set equals [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A373451

Numbers k such that σ(k) == 0 (mod k-8). A274562

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants antisymmetric and no off-diagonal 2X2 subblock determinant zero. A187521

a(n) = ((1 + 3·sqrt(2))*(4 + sqrt(2))ⁿ + (1 - 3·sqrt(2))*(4 - sqrt(2))ⁿ)/2. A163615

Numbers k such that if x = σ(k) + τ(k) - k then k = σ(x) + τ(x) - x. A238226

Numbers n for which A294898(n) is not zero and A294898(n) divides A000120(n); numbers for which A326130(n) = abs(A294898(n)). A326132

Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k). A124141