12033
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19968
- Proper Divisor Sum (Aliquot Sum)
- 7935
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6840
- Möbius Function
- 0
- Radical
- 4011
- 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
- yes
- Harshad Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=21A023059
- Expansion of 1/((1-4*x)*(1-8*x)*(1-9*x)*(1-12*x)).at n=3A028157
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3),...,a(n-1),a(n)] and [a(n); a(n-1), a(n-2),...,a(2), a(1)].at n=14A058081
- Denominator of the n-th convergent to Sum_{k>=0} 1/2^(2^k).at n=8A073415
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=25A075893
- Expansion of (1-x)^(-1)/(1-2*x+2*x^3).at n=23A077853
- Expansion of (1-x)^(-1)/(1+2*x-2*x^3).at n=23A077924
- Expansion of e.g.f. (1+x)*exp(2*x)*cosh(x).at n=8A082306
- Binomial transform of 1,8,48,256,1280,6144,... (cf. A002697).at n=8A083672
- Binomial transform of Fredholm-Rueppel sequence.at n=16A119968
- Numerator of Euler(n, 1/23).at n=3A156891
- Sum of cube of digits is sum of digits of cube.at n=43A165551
- a(n) = 12*n^2 - 8*n + 1.at n=32A185212
- Equals one maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX4 array.at n=4A220973
- Equals one maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX5 array.at n=3A220974
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array.at n=31A220977
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array.at n=32A220977
- Column 3 of array in A226513.at n=20A226514
- Expansion of Product_{k>=1} 1/((1-x^(3*k-1))*(1-x^(3*k-2)))^k.at n=28A262883
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood.at n=25A268154