4032
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 42
- Divisor Sum
- 13208
- Proper Divisor Sum (Aliquot Sum)
- 9176
- 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
- 42
- Omega Function (Ω)
- 9
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 113
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=41A000082
- Generalized class numbers c_(n,1).at n=35A000233
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=20A001766
- Denominators of Bernoulli polynomials B(n)(x).at n=6A001898
- a(n) = 2*n*(2*n-1).at n=32A002939
- a(n) = n^2 written backwards.at n=47A002942
- a(n) = 2^(n-4)*C(n,4).at n=5A003472
- Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=15A003781
- Theta series of 12-dimensional Coxeter-Todd lattice K_12.at n=3A004010
- a(n) = n! with trailing zeros omitted.at n=8A004154
- Number of connected bipartite graphs with n nodes.at n=10A005142
- a(n) = (n-1)*n*(n+4)/6.at n=28A005581
- Theta series of the coset of the E_7 lattice in its dual.at n=3A005931
- Erroneous version of A003781.at n=15A005932
- 'Eban' numbers (the letter 'e' is banned!).at n=44A006933
- Smallest k such that sigma(x) = k has exactly n solutions.at n=25A007368
- Coordination sequence T1 for Zeolite Code AEI.at n=48A008001
- Coordination sequence T3 for Zeolite Code AEI.at n=48A008003
- Coordination sequence T2 for Zeolite Code CAS.at n=38A008064
- Coordination sequence T2 for Zeolite Code DOH.at n=39A008079