4118
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 2362
- 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
- 1960
- Möbius Function
- -1
- Radical
- 4118
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- Number of partitions into non-integral powers.at n=16A000158
- Coordination sequence T6 for Zeolite Code EUO.at n=40A008101
- Coordination sequence T4 for Zeolite Code NES.at n=41A008208
- Coordination sequence T5 for Zeolite Code NON.at n=39A008216
- Coordination sequence T5 for Zeolite Code VET.at n=38A009906
- Coordination sequence for FeS2-Pyrite, S position.at n=31A009956
- a(0) = 1, a(n) = 21*n^2 + 2 for n>0.at n=14A010011
- Coordination sequence T2 for Zeolite Code OSI.at n=42A016431
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=36A024920
- a(n) = Sum_{j=0..floor(n/2)} T(n,j), T given by A026736.at n=12A026744
- Number of partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=30A035985
- Coordination sequence T2 for Zeolite Code AWO.at n=44A038407
- Numbers having three 5's in base 9.at n=24A043475
- Numbers whose base-16 representation has exactly 4 runs.at n=5A043677
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=10A045031
- Expansion of Product_{k>=0} 1/(1 - x^(k+1))^A001156(k).at n=22A045842
- Numbers k such that the k-th partition number A000041(k) is prime.at n=54A046063
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=26A051989
- Distribution of maximum inversion table entry.at n=38A056151
- First differences of A003063.at n=7A056182