3604
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6804
- Proper Divisor Sum (Aliquot Sum)
- 3200
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1664
- Möbius Function
- 0
- Radical
- 1802
- 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
- 56
- 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
- Coordination sequence T7 for Zeolite Code EUO.at n=37A008102
- Coordination sequence T5 for Zeolite Code NON.at n=36A008216
- Coordination sequence T1 for Scapolite.at n=38A008262
- a(n) = (n+2)*(n+1)*(n^2 + 7*n - 12)/24.at n=14A014309
- k is the first integer such that phi(k) + n | sigma(k).at n=37A015808
- a(n) = n*(25*n - 1)/2.at n=17A022282
- a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=12.at n=13A022411
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=17A026049
- Coordination sequence T1 for Zeolite Code ITE.at n=41A027369
- Coordination sequence T4 for Zeolite Code ITE.at n=41A027372
- 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 30.at n=29A031528
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 30.at n=3A031708
- Number of partitions of n into parts not of the form 25k, 25k+5 or 25k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=29A036004
- Coordination sequence T4 for Zeolite Code STF.at n=40A038439
- Numbers having three 4's in base 9.at n=27A043471
- Numbers k such that the string 4,4 occurs in the base 9 representation of k but not of k-1.at n=44A044291
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=31A044886
- Self-convolution of 1 2 3 5 7 11 15 22 30 42 56 77 ... (A000041).at n=13A048574
- Number of rooted 6-dimensional "polycubes" with n cells, with no symmetries removed.at n=3A048667
- Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1).at n=39A048790