6804
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 20384
- Proper Divisor Sum (Aliquot Sum)
- 13580
- 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
- 1944
- Möbius Function
- 0
- Radical
- 42
- 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
- 62
- 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 mixed Husimi trees with n nodes; or polygonal cacti with bridges.at n=11A000083
- a(n) = (5*n+1)*(5*n+4).at n=16A001545
- Numbers k such that 15*2^k + 1 is prime.at n=27A002258
- a(n) = 10*n^3 - 6*n^2.at n=9A006592
- McKay-Thompson series of class 6c for Monster.at n=17A007262
- a(n) = (2*n - 15)*n^2.at n=18A015247
- n written in fractional base 10/6.at n=54A024661
- Self-convolution of array T given by A026626.at n=7A026961
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=30A033688
- Sums of 2 distinct powers of 3.at n=33A038464
- Numbers having three 0's in base 9.at n=26A043455
- Auxiliary sequence for calculation of number of even permutations of degree n and order exactly 4.at n=8A051685
- Sums of two powers of 3.at n=41A055235
- Low-temperature susceptibility expansion for honeycomb net (Potts model, q=4).at n=4A057395
- McKay-Thompson series of class 18c for Monster.at n=17A058538
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=24A060663
- a(n) = 18*(n - 2)*(2*n - 5).at n=14A060787
- a(n) = 21*n^2.at n=18A064762
- a(n) = n^3*Product_{distinct primes p dividing n} (1+1/p^3).at n=17A065959
- Numbers k such that phi(k) divides (sigma(k+2) + sigma(k-2)).at n=40A067245