12039
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16056
- Proper Divisor Sum (Aliquot Sum)
- 4017
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8024
- Möbius Function
- 1
- Radical
- 12039
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 187
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=16A049888
- Numerators of partial sums of a series for sqrt(5)/3.at n=6A124397
- a(n) = (9*n^2 - 5*n + 2)/2.at n=52A140064
- a(n) = floor((1 + 1/Pi)^n).at n=33A179492
- Ascending sequence of numbers such that the sum of any two distinct elements (even + odd) is a prime number.at n=30A180743
- Number of 3-element nondividing subsets of {1, 2, ..., n}.at n=44A187490
- Number of (5+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=24A250659
- T(n,k) = 1/k! * Sum_{i=0..k} (-1)^(k-i) *C(k,i) * A258222(n,i); triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=19A258223
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood.at n=26A270292
- Integers k such that A086167(k) and A086168(k) are both prime.at n=44A270563
- Number of points of norm <= n in the body-centered cubic lattice with the lattice parameter equal to 2/sqrt(3).at n=13A276648
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=4A318017
- Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=4A318021
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=40A318024
- Array read by antidiagonals: T(m,n) = number of placements of zero or more dominoes on the m X n grid where no two empty squares are horizontally adjacent.at n=38A332862
- Number of integer partitions of n with non-biquanimous multiplicities.at n=36A371840
- Number of minimal dominating sets in the n X n X n grid graph.at n=2A381090
- Expansion of 1/((1-5*x) * sqrt(1+4*x)).at n=6A390137