4108
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
- 7840
- Proper Divisor Sum (Aliquot Sum)
- 3732
- 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
- 1872
- Möbius Function
- 0
- Radical
- 2054
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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) = 2^n + n.at n=12A006127
- Coordination sequence T2 for Zeolite Code AST.at n=47A008037
- Coordination sequence T5 for Zeolite Code RUT.at n=42A009901
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=13A030117
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=28A031465
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=26A033580
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 4.at n=11A033960
- Dirichlet convolution of b_n = 2^(n-1) with phi(n).at n=12A034738
- Numerators of continued fraction convergents to sqrt(70).at n=6A041122
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=11A044887
- Third spoke of a hexagonal spiral.at n=37A056107
- Integers for which the periodic part of the continued fraction for the square root of n begins with 10.at n=40A065013
- Numbers k such that sigma_k(k)/k is an integer, where sigma_k(k) is the sum of the k-th powers of the divisors of k (A023887).at n=32A067313
- a(n) = (prime(n)-1)*(prime(n)+1)/6.at n=34A084922
- Self-convolution of this sequence is equal to its hyperbinomial transform and results in A089471.at n=5A089470
- Positive integers n such that the trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not join the trajectory of any m < n.at n=43A091675
- a(n) = smallest k such that the base 4 Reverse and Add! trajectory of A075421(n) joins the trajectory of k.at n=21A091676
- a(n) = Fibonacci(prime(n)) - prime(Fibonacci(n)).at n=7A093062
- Numbers k such that 2^k + 13 is prime.at n=9A102634
- Numbers k such that A120301(k) differs from A058313(k).at n=50A123944