4686
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 5682
- 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
- 1400
- Möbius Function
- 1
- Radical
- 4686
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 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
- yes
- Odd
- no
Appears in sequences
- Denominators of Bernoulli numbers B_{2n}.at n=35A002445
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=36A006954
- Coordination sequence T4 for Zeolite Code TON.at n=43A008244
- Pisot sequence T(4,9), a(n) = floor(a(n-1)^2/a(n-2)).at n=9A019492
- a(n) = 3*a(n-1) - 4*a(n-3) + a(n-6).at n=9A019493
- Pseudoprimes to base 25.at n=45A020153
- Denominator of Sum_{p prime, p-1 divides 2*n} 1/p.at n=34A027762
- 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 44.at n=36A031542
- Write cosec x = 1/x + Sum e_n x^(2n-1)/(2n-1)!; sequence gives denominators of e_n.at n=34A036283
- a(n) = prime(n)*prime(n+1) - prime(n+1).at n=18A037167
- Numbers whose maximal base-8 run length is 4.at n=13A037995
- Numbers having four 2's in base 5.at n=29A043360
- Numbers having four 1's in base 8.at n=9A043428
- Distribution of maximum inversion table entry.at n=31A056151
- Numbers k such that 3*2^k + 35 is prime.at n=39A059759
- Number of Gnutella users reachable with given connections and hops.at n=49A067066
- Numbers k such that prime(k+1)-(k+1)*tau(k+1) = prime(k-1)-(k-1)*tau(k-1) where tau(k) = A000005(k) is the number of divisors of k.at n=37A067335
- Coefficient of q^2 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,1).at n=14A074082
- Nonunit step integers of double-loop digraphs.at n=9A079659
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=28A080198