4317
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 1443
- 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
- 2876
- Möbius Function
- 1
- Radical
- 4317
- 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
- 51
- 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 T3 for Zeolite Code GOO.at n=45A008113
- Coordination sequence T3 for Zeolite Code -CHI.at n=42A009848
- Coordination sequence T1 for Zeolite Code OSI.at n=43A016430
- Number of partitions of n into 8 unordered relatively prime parts.at n=34A023028
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=24A025219
- 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 42.at n=33A031540
- Number of rooted compound windmills with n nodes where any 2 submills extending from the same node are different.at n=13A032160
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=32A034379
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=27A044887
- n plus a googol is prime.at n=12A049014
- a(n)=T(n,2), array T as in A049735.at n=37A049745
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=36A049830
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=13A050969
- Coordination sequence T3 for Zeolite Code MTF.at n=39A057306
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=30A069832
- Sum of first n 3-almost primes.at n=43A086062
- Number of numbers with 6 decimal digits and sum of digits = n.at n=11A090581
- Number of numbers with 6 decimal digits and sum of digits = n.at n=42A090581
- a(n) = Sum_{k = 0..floor(n/2)} floor(C(n-k,k)/(k+1)).at n=21A095719
- a(n) = ceiling( 1/2 + (Sum_{i=0..n-1}C(n,i)*C(n,i+1))/2^(n+1) ).at n=14A099779