6399
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
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 9680
- Proper Divisor Sum (Aliquot Sum)
- 3281
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4212
- Möbius Function
- 0
- Radical
- 237
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 168
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 4*n^2 - 1.at n=40A000466
- Waring's problem: least positive integer requiring maximum number of terms when expressed as a sum of positive n-th powers.at n=7A018886
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite ATS = MAPO-36 H[MgAl11P12O48] starting with a T1 atom.at n=5A018985
- Pseudoprimes to base 80.at n=35A020208
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=30A025002
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=32A031897
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=28A032767
- a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=38A046259
- Number of trees with n nodes and 10 leaves.at n=6A055297
- If p | n, then p+1 | n+1 for composite n.at n=32A056729
- McKay-Thompson series of class 9c for the Monster group.at n=32A058095
- Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 8 sites wide.at n=41A058365
- Exponents in expansion of rank-2 Artin constant product(1-1/(p^3-p^2), p=prime) as a product zeta(n)^(-a(n)).at n=31A065417
- Lesser of two consecutive numbers each divisible by a fourth power.at n=12A068782
- Numbers n such that core(n)=floor(sqrt(n)), where core(x)=A007913(x) is the squarefree part of x and floor(sqrt(x))=A000196(x).at n=11A069186
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=12A072016
- Indices of triangular numbers listed in A075088.at n=14A076550
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=22A081378
- Triangle T(n,k) = 10^(n-1) -1 + k*floor(9*10^(n-1)/(n+1)), with 1 <= r <= n, read by rows.at n=8A093850
- Number of degeneracies on the sets of ordinary trees with n vertices according to a topological index.at n=9A121223