6768
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 19344
- Proper Divisor Sum (Aliquot Sum)
- 12576
- 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
- 2208
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 7
- 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
- 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
- Expansion of (1+x)(1+x^2)/(1-x-x^3).at n=22A003410
- Number of vertex-transitive graphs with n nodes.at n=32A006799
- Coordination sequence for Cr3Si, Si position.at n=21A009927
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=45A020696
- a(n) = least m such that if r and s in {1/2, 1/5, 1/8, ..., 1/(3n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=36A024837
- Pair up the numbers.at n=33A030655
- Positive numbers having the same set of digits in base 6 and base 9.at n=26A037436
- Number of triangles in an n X n grid (or geoplane).at n=5A045996
- Number of nonisomorphic circulant graphs, i.e., undirected Cayley graphs for the cyclic group of order n.at n=32A049287
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 7 skipped primes.at n=37A050774
- Numbers k such that k | sigma_3(k) - phi(k)^3.at n=11A055697
- Expansion of (1 - x^2)/(1 - x - x^3).at n=26A058278
- McKay-Thompson series of class 50a for Monster.at n=56A058703
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=26A063358
- a(n) is the smallest integer k such that floor((3/2)^k)/floor((3/2)^n) is an integer greater than 1.at n=24A065644
- Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=42A077296
- Expansion of (1-x)/(1-x-2*x^2-x^3).at n=13A078007
- a(n) = Fibonacci(4*n) + 3, or Fibonacci(2*n+2)*Lucas(2*n-2).at n=5A081072
- Expansion of (1+4x+7x^2)/((1-x)^2*(1-x^2)).at n=47A090381
- Index of the first occurrence of prime(n) in A092938.at n=38A092939