6036
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 8076
- 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
- 2008
- Möbius Function
- 0
- Radical
- 3018
- Omega Function (Ω)
- 4
- 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
- 67
- Smith Number
- yes
- 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
- Coordination sequence T2 for Zeolite Code BIK.at n=46A008048
- Coordination sequence for FeS2-Marcasite, S position.at n=38A009954
- Expansion of e.g.f. sinh(tanh(x) + log(x+1)).at n=7A013123
- a(n) = n*(21*n-1)/2.at n=24A022278
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=29A025005
- A Diaconis-Mosteller approximation to the Birthday problem function.at n=29A050255
- Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=28A051891
- Column 3 of A052250.at n=10A052251
- Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).at n=13A057383
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,5.at n=13A064239
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,21.at n=13A064247
- Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,23.at n=0A064248
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,25.at n=1A064249
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=40A067356
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=36A073713
- Expansion of (1-x)/(1-x-2*x^2-2*x^3).at n=12A078006
- Expansion of x^4*(2+x)/((1+x)*(1-x)^5).at n=15A082289
- Expansion of (1+x+x^2)/((1+x^2)*(1+x)^4*(1-x)^5).at n=31A082290
- a(n) = Sum_{k=0..n} 4^k*F(k) where F(k) is the k-th Fibonacci number.at n=5A082988
- Multiples of 3018.at n=1A086746