12052
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 10124
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5720
- Möbius Function
- 0
- Radical
- 6026
- Omega Function (Ω)
- 4
- 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
- 24
- 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
- Number of subsets of the first n primes whose sum is a prime.at n=15A071810
- Triangle of generalized Stirling numbers S_{2,2}(n,k) read by rows (n>=1, 2<=k<=2n).at n=20A078739
- Fifth column (k=6) of array A078739(n,k) ((2,2)-generalized Stirling2).at n=2A089273
- Number of nondecreasing integer sequences of length 6 with sum zero and sum of absolute values 2n.at n=27A158140
- 0-sequence of reduction of the upper Wythoff sequence by x^2 -> x+1.at n=13A192302
- Permanent of the n-th principal submatrix of A003057.at n=4A204249
- Triangle of generalized Stirling numbers S_{n,n}(5,k) read by rows (n>=0, n<=k<=5n) the sum of which is A182924.at n=10A216379
- O.g.f.: Sum_{n>=0} n^n * (n+1)^(n-1) * exp(-n*(n+1)*x) * x^n / n!.at n=5A217900
- Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=5A231339
- Number of (n+1)X(6+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=2A231342
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=30A231343
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order.at n=33A231343
- Triangle read by rows: T(n,k) = total number of configurations of k nonattacking bishops on the white squares of an n X n chessboard (0 <= k <= n-1+[n=0]).at n=41A274106
- Sum of cubes of proper divisors of n.at n=43A276634
- Expansion of (1 + 2*x)/(1 - x - 4*x^2 + x^4).at n=10A280756
- Indices of primes in A026007.at n=37A285223
- p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S^2 - S^4.at n=12A291403
- a(n) = 4^n * [x^n] 1/sqrt(1-x) * Product_{k>=1} 1/(1 - x^k).at n=5A325947
- Main diagonal of array in A358298.at n=19A358301
- Triangle T(n, k) for the number of permutations of symmetric group S_n with an odd number of non-fixed point cycles, without k <= n particular fixed points.at n=40A374420