4115
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4944
- Proper Divisor Sum (Aliquot Sum)
- 829
- 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
- 3288
- Möbius Function
- 1
- Radical
- 4115
- 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
- 113
- 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
- Coordination sequence T1 for Zeolite Code ATT.at n=46A008041
- Number of necklaces of sets of beads containing a total of n beads.at n=15A008965
- Every suffix prime and no 0 digits in base 6 (written in base 6).at n=35A024781
- Number of 2's in all partitions of n.at n=25A024786
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=52A025217
- 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 11.at n=37A031509
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=20A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=14A038860
- a(n) = (n+5)^3 - n^3.at n=14A038867
- Numerators of continued fraction convergents to sqrt(714).at n=9A042374
- Denominators of continued fraction convergents to sqrt(830).at n=8A042603
- a(n)=A033002(n)/5.at n=41A043308
- Numbers whose base-7 representation contains exactly three 6's.at n=28A043419
- Numbers whose base-16 representation has exactly 4 runs.at n=2A043677
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=10A045035
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=27A045057
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=25A045082
- Triangle read by rows giving number of arrangements of k dumbbells on 2 X n grid (n >= 0, k >= 0).at n=49A046741
- a(n)=T(n,n+2), array T as in A049723.at n=35A049730
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=24A051892