4117
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 203
- 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
- 3916
- Möbius Function
- 1
- Radical
- 4117
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 126
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Spiral sieve using Fibonacci numbers.at n=17A005622
- Coordination sequence T1 for Zeolite Code RSN.at n=42A009885
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=4A020425
- a(n) = T(2*n, n), where T is given by A026519.at n=7A026525
- a(n) = T(n, floor(n/2)), T given by A026519.at n=14A026530
- a(n) = T(n, floor(n/2)), T given by A026536.at n=14A026547
- a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A027113.at n=2A027143
- Numerator of Sum_{k=1..n} 1/phi(k).at n=18A028415
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=33A031796
- Coordination sequence T1 for Zeolite Code AWO.at n=44A038406
- Coordination sequence T4 for Zeolite Code STF.at n=43A038439
- Sums of 4 distinct powers of 4.at n=15A038472
- Numbers whose base-16 representation has exactly 4 runs.at n=4A043677
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=0A045032
- Inverse Moebius transform of A000031 (starting at term 0).at n=16A054058
- Numbers k such that k^10 == 1 (mod 11^3).at n=31A056085
- Numbers n such that phi(2n+1) = sigma(n).at n=27A067229
- Numbers n such that phi(3n-1) = sigma(n).at n=30A067232
- Numbers k such that sigma(k) = phi(k*bigomega(k)+1).at n=31A067876
- Numbers k such that sigma(k) = phi(k*omega(k)+1).at n=32A067879