3648
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 10160
- Proper Divisor Sum (Aliquot Sum)
- 6512
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1152
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 8
- 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
- 38
- 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 that are the sum of 8 positive 6th powers.at n=35A003364
- a(n) = floor(Fibonacci(n)/3).at n=21A004696
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=7A004968
- Number of words of length n in a certain language.at n=31A005819
- Coordination sequence T3 for Zeolite Code DOH.at n=37A008080
- Number of times n-th energy state appears in statistical sum of Ising model on 4 X 4 X 4 cube.at n=6A008551
- Coordination sequence T4 for Zeolite Code -CHI.at n=38A009849
- Coordination sequence for CaF2(2), Ca position.at n=27A009926
- Specific heat coefficients for square lattice spin 2 Ising model.at n=16A010112
- Number of subsets of { 1, ..., n } containing an A.P. of length 9.at n=18A018794
- Expansion of Product_{m>=1} (1+x^m)^6.at n=8A022571
- Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^4.at n=34A028585
- Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^4.at n=49A028709
- Low temperature series for spin-1/2 Ising magnetic susceptibility on 4D simple cubic lattice (divided by 4).at n=13A030046
- Numbers having period-2 6-digitized sequences.at n=2A031357
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 29.at n=20A031527
- Numbers whose set of base-15 digits is {1,3}.at n=17A032922
- Every run of digits of n in base 15 has length 2.at n=16A033013
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=31A033028
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=21A036333