4619
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 181
- 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
- 4440
- Möbius Function
- 1
- Radical
- 4619
- 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
- 152
- 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 ATO.at n=45A008265
- Expansion of e.g.f.: exp(sin(x))/exp(x).at n=11A009209
- Quadruples of different integers from [ 1,n ] with no global factor.at n=19A015622
- Numbers k such that 227*2^k+1 is prime.at n=8A032490
- a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1).at n=18A037165
- Largest number m with A046805(m) = n.at n=42A046806
- CIK transform of Pascal's triangle A007318.at n=57A055376
- Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.at n=36A063049
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=35A063361
- a(n) = n^2 * Sum_{primes p dividing n} (1 - 1/p^2).at n=41A065970
- Least k such that gcd(prime(k+1)-1, prime(k)-1) = 2n.at n=15A067605
- A congruence property: a(n) = (A248586(p)-5)/(4*p) where p is the n-th prime.at n=2A079646
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-1,1,2}.at n=17A079984
- Let b(1)=1, b(2)=2, b(n) = sum of digits of b(1)+b(2)+b(3)+...+b(n-1), sequence gives values of n such that b(n)=3.at n=19A084229
- Duplicate of A067605.at n=15A084308
- a(n) = Sum_{i=1..n} binomial(i+1,2)^3.at n=4A085438
- Numbers n such that for some k there exist k numbers a1,a2, ...,ak that concatenations of them is equal to n and sum of them is equal to Pi(n).at n=11A097222
- Slowest increasing sequence where the first pair of digits sums to 10, the next pair also does and so on.at n=40A098791
- Highly cototient numbers: records for a(n) in A063741.at n=41A100827
- a(n) = (1/6)*(n^3 + 21*n^2 + 74*n + 18).at n=24A103145