4947
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 2109
- 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
- 3072
- Möbius Function
- -1
- Radical
- 4947
- Omega Function (Ω)
- 3
- 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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=32A000338
- 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 69.at n=18A031567
- Numbers k such that 185*2^k+1 is a prime.at n=11A032469
- In A015922, not in A033553.at n=14A033554
- Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1.at n=36A035950
- Number of partitions satisfying cn(1,5) + cn(4,5) <= 1.at n=42A039856
- Denominators of continued fraction convergents to sqrt(293).at n=5A041551
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=31A043293
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=14A045291
- a(n) = Sum_{d|3} phi(d)*n^(3/d).at n=17A054602
- Numbers n such that n | 5^n + 3^n +1.at n=11A057829
- C(n+3)=2*C(n), where C(n) is Cototient(n) := n - phi(n) (A051953).at n=31A063480
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} cos(2*Pi*b_i/n) = Product_{i=1..4} cos(2*Pi*c_i/n).at n=38A063780
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} sin(2*Pi*b_i/n) = Product_{i=1..4} sin(2*Pi*c_i/n).at n=38A063781
- Denominator of coefficient G_n defined by Sum_{ (m,m') != (0,0)} 1/(m+m'*sqrt(-2))^(2*n) = (4*w)^(2*n)*G_n/(2*n)!, where 2w is one of the periods of the associated Weierstrass P-function.at n=47A069239
- a(n) = 2*n^2 + 11*n + 12.at n=48A071355
- Total number of parts in all partitions of n into prime parts.at n=44A084993
- Beginning with 1, a(n) = least number m > a(n-1) such that phi(a(n-1)) divides phi(m).at n=54A090556
- Largest member of the n-th row of the triangular triangle (A093445).at n=28A093446
- a(n) = least composite m such that binomial(3m,m) mod m = 3^n.at n=6A109642