12008
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24000
- Proper Divisor Sum (Aliquot Sum)
- 11992
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5616
- Möbius Function
- 0
- Radical
- 3002
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=41A015850
- Numbers k that divide sigma(k) + d(k), where d(k) is the number of divisors of k and sigma(k) is their sum.at n=10A056076
- Numbers k such that sigma(k) + tau(k) = 2k.at n=8A083874
- Number of partitions of 2n free of multiples of 8 such that 4 occurs at most once. All odd parts occur with even multiplicities. There is no restriction on the other even parts.at n=25A100684
- Indices of primes in the sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 71 for n > 0.at n=10A101587
- Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=26A124141
- Numbers k whose abundance sigma(k) - 2*k = -16. Numbers k whose deficiency is 16.at n=9A125248
- Partial sums of A003325.at n=36A139211
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, -1), (0, 1, 0), (1, -1, 1)}.at n=10A148260
- 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.at n=38A153648
- 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.at n=42A153648
- a(n) = ((1 + 3*sqrt(2))*(4 + sqrt(2))^n + (1 - 3*sqrt(2))*(4 - sqrt(2))^n)/2.at n=5A163615
- Partial sums of Pillai primes (A063980).at n=41A172034
- Number of (n+1)X(n+1) 0..2 arrays with the array of 2X2 subblock determinants antisymmetric and no off-diagonal 2X2 subblock determinant zero.at n=4A187517
- 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.at n=19A187521
- Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=9A235288
- Numbers k such that if x = sigma(k) + tau(k) - k then k = sigma(x) + tau(x) - x.at n=14A238226
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 589", based on the 5-celled von Neumann neighborhood.at n=6A273112
- Numbers k such that sigma(k) == 0 (mod k-8).at n=19A274562
- Sum of the asymmetry degrees of all compositions of n with parts in {1,5}.at n=32A276065