4508
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 5068
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1848
- Möbius Function
- 0
- Radical
- 322
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 139
- 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) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=22A000070
- The coding-theoretic function A(n,4,4).at n=45A001843
- Numbers that are the sum of 9 positive 7th powers.at n=20A003376
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=14A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=14A004967
- a(n) = (2*n - 5)n^2.at n=14A015240
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=27A018227
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite KFI = ZK-5 Na30 [ Al30Si66O192 ] . 98 H2O.at n=5A019024
- a(n) = n*(17*n + 1)/2.at n=23A022275
- Number of palindromic partitions of n.at n=44A025065
- Number of palindromic partitions of n.at n=45A025065
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049639.at n=55A049640
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=4A050209
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=38A050772
- Coordination sequence T6 for Zeolite Code SFE.at n=44A057322
- McKay-Thompson series of class 34a for the Monster group.at n=33A058639
- a(n) = 5^n mod n^5.at n=8A066609
- 5^n reduced modulo 3^n.at n=9A067602
- a(1)=1, a(2)=10, a(n) = floor(a(n-1)/phi) + floor(a(n-2)/phi) where phi is the golden ratio (1+sqrt(5))/2 (if a(2) < 10 a(k) converges to an integer value).at n=53A072930
- Expansion of x^2(3+2x)/(1-x-5x^2-3x^3).at n=8A076149