5568
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
- 28
- Divisor Sum
- 15240
- Proper Divisor Sum (Aliquot Sum)
- 9672
- 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
- 1792
- Möbius Function
- 0
- Radical
- 174
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Number of points on surface of truncated cube: a(n) = 46*n^2 + 2 for n > 0.at n=11A005911
- Number of permutations of length n with 1 fixed and 1 reflected point.at n=8A007016
- Coordination sequence T4 for Zeolite Code MFS.at n=46A008176
- Expansion of cosh(x)/exp(tanh(x)).at n=9A009187
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=26A020443
- s(n+3)/4, where s is A024739.at n=10A024740
- Molien series for group Gamma_{3,0}(2).at n=18A027632
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=30A027662
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=30A028604
- Trajectory of 1 under map n->17n+1 if n odd, n->n/2 if n even.at n=8A033965
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=7A037159
- Expansion of (1-x)/(1 - x - x^3 - 2*x^4 + 2*x^5).at n=22A052914
- Trajectory of 19 under the `19x+1' map.at n=19A057685
- Triangle: Number of asymmetric semigroups of order n with k idempotents.at n=18A058113
- Least k such that k*6^n +/- 1 are twin primes.at n=52A064215
- Prime(n^2) +/- n are primes.at n=16A064495
- Multiples of 24 whose digits also sum to 24.at n=13A066270
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=51A066286
- Number of ternary squarefree necklaces.at n=32A066297
- a(n) = Product_{i=2..n} A001222(i) * Sum_{i=2..n} 1/A001222(i).at n=13A067580