4004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9408
- Proper Divisor Sum (Aliquot Sum)
- 5404
- 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
- 1440
- Möbius Function
- 0
- Radical
- 2002
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 144
- 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+1)*(n+3)*(n+8)/6.at n=26A000297
- A self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j.at n=18A001856
- Number of partitions of an n-gon into (n-5) parts.at n=3A002060
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=38A002134
- Degrees of irreducible representations of alternating group A_13.at n=27A003868
- Degrees of irreducible representations of symmetric group S_13.at n=52A003877
- Degrees of irreducible representations of symmetric group S_13.at n=51A003877
- Representation degeneracies for Neveu-Schwarz strings.at n=21A005295
- Number of unrooted triangulations with reflection symmetry of a disk with 2 internal nodes and n+3 nodes on the boundary.at n=12A005509
- Coefficients of Chebyshev polynomials.at n=10A005583
- a(n) = 2*a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6.at n=10A006356
- Number of closed meander systems of order n+1 with n components.at n=5A006659
- 'Eban' numbers (the letter 'e' is banned!).at n=41A006933
- Coordination sequence T4 for Zeolite Code MFS.at n=39A008176
- Coordination sequence T2 for Zeolite Code STI.at n=43A008235
- Coordination sequence T4 for Zeolite Code STI.at n=43A008237
- Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components.at n=26A008828
- a(n) = n*(2*n + 3).at n=44A014106
- Expansion of 1/((1-x)*(1-5*x)*(1-6*x)*(1-10*x)).at n=3A022343
- Theta series of A*_13 lattice.at n=45A023925