4660
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 5168
- 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
- 1856
- Möbius Function
- 0
- Radical
- 2330
- 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
- 121
- 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
- Arrays of dumbbells.at n=11A002940
- Number of protruded partitions of n with largest part at most 4.at n=13A005405
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=47A008000
- Coordination sequence T3 for Zeolite Code AEL.at n=45A008006
- Expansion of tan(log(1+x)*exp(x)).at n=7A009651
- a(n) = (16^(n+1) - 15*n - 16)/225.at n=4A014899
- Fibonacci sequence beginning 0, 20.at n=13A022354
- [ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ].at n=14A024191
- Numbers having period-4 6-digitized sequences.at n=17A031197
- 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 34.at n=36A031532
- Take the first n numbers written in base 16, concatenate them, then convert from base 16 to base 10.at n=3A048447
- Expansion of (1-x)/(1 - x - 4*x^2).at n=10A052923
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=18A056068
- McKay-Thompson series of class 44c for Monster.at n=45A058683
- Interprimes which are of the form s*prime, s=20.at n=7A075295
- Left side of the triangle A075652.at n=48A075648
- Main diagonal of A101858.at n=35A101863
- Expansion of (1 - sqrt(1 - 4*x - 16*x^2))/(2*x).at n=6A103971
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k platforms (i.e., UHD, UHHD, UHHHD, ..., where U=(1,1), D=(1,-1), H=(2,0)).at n=16A104546
- Number of Schroeder paths of length 2n having no UHD, UHHD, UHHHD, ..., where U=(1,1), D=(1,-1), H=(2,0).at n=7A104547