6855
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
- 8
- Divisor Sum
- 10992
- Proper Divisor Sum (Aliquot Sum)
- 4137
- 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
- 3648
- Möbius Function
- -1
- Radical
- 6855
- Omega Function (Ω)
- 3
- 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
- 88
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = floor(n*(n-1)*(n-2)*(n-3)/31).at n=23A011941
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T4 atom.at n=12A019100
- Conjectured number of irreducible multiple zeta values of depth 9 and weight 2n+25.at n=11A022497
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=35A027578
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=17A030653
- [ exp(4/13)*n! ].at n=6A030930
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=34A031525
- Bisection of A028289.at n=43A038390
- Sets of 4 consecutive numbers with equal number of divisors.at n=18A039665
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=30A045947
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=37A047866
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=35A058760
- Composites for which the row of the prime-composite array (A063173) includes the leftmost element of both a zero-only antidiagonal and a zero-only diagonal(A067681).at n=41A063176
- Antidiagonal sums of square array A082011 divided by the number of the antidiagonal.at n=41A082015
- Where A007535 reaches a record.at n=26A098653
- Numbers whose square is the sum of distinct double factorials (A006882).at n=48A115649
- a(n) = n*(4*n^2 + n - 1)/2.at n=14A125200
- a(n), a(n+1), a(n+2), for n=2,5,8,11,... are respectively the numbers of representations of the integers 2^k-2, 2^k, 2^k+2, where k=(n+4)/3, by unordered sums of two numbers of A156284.at n=56A156537
- A sequence of triples of squarefree consecutive integers each composed of exactly three primes.at n=32A165936
- Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X n array.at n=3A220197