4746
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 6198
- 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
- 1344
- Möbius Function
- 1
- Radical
- 4746
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 77
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Generalized class numbers c_(n,1).at n=37A000233
- Coordination sequence T2 for Zeolite Code ATV.at n=44A008044
- Coordination sequence T2 for Zeolite Code BRE.at n=45A008059
- Coordination sequence T3 for Zeolite Code NES.at n=44A008207
- Pisot sequence E(9,15), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=12A014003
- Expansion of 1/(1 - x^10 - x^11 - ...).at n=62A017904
- Numbers whose set of base-8 digits is {1,2}.at n=35A032929
- Numbers whose set of base-13 digits is {1,2}.at n=26A032933
- Every run of digits of n in base 13 has length 2.at n=25A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=38A033026
- Convolution of Catalan numbers A000108 with A038845.at n=4A042941
- Positive integers having more base-13 runs of even length than odd.at n=26A044839
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=12A045051
- A triangle related to A000108 (Catalan) and A000302 (powers of 4).at n=31A046527
- Number of 3-covers of an unlabeled n-set.at n=11A055195
- a(0) = 1; a(n) = sum_{k=1 to d(n)} [a(n-k)] where d(n) is number of positive divisors of n.at n=15A055873
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=40A061766
- Integers y such that for some integer x we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1).at n=7A067741
- Numbers n such that when the digits of Fibonacci(n) are sorted into decreasing order and zeros are dropped it is a prime.at n=39A082922
- Number of integer partitions of n with a part dividing all the other parts.at n=30A083710