6814
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10224
- Proper Divisor Sum (Aliquot Sum)
- 3410
- 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
- 3406
- Möbius Function
- 1
- Radical
- 6814
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LOS = Losod Na12[Al12Si12O48].18H2O starting with a T1 atom.at n=5A019032
- Number of inequivalent ways of choosing n squares from an n X n board, considering rotations and reflections to be the same.at n=4A019318
- 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 82.at n=7A031580
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=21A031814
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=23A045291
- Triangle T(n,k) of n X n binary matrices with k=0..n^2 ones under action of dihedral group of the square D_4.at n=40A054252
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=26A056789
- Semiprimes (A001358) whose digit reversal is a triangular number.at n=30A115741
- Number of fusenes with 25 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=9A123598
- Lower indices of duplicate terms in A125204, i.e., k such that A125204(k) = A125204(k + 1).at n=7A125284
- a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4) with a(0)=0, a(1)=1, a(2)=2 and a(3)=3.at n=17A135431
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=5.at n=21A143456
- Q-toothpick sequence (see Comments for precise definition).at n=58A187210
- Number of 0..n arrays x(0..5) of 6 elements with zero 3rd differences.at n=46A200273
- T(n,k) = count of degree k monomials in the elementary symmetric polynomials e(mu,k) summed over all partitions mu of n.at n=18A209669
- Number of n X 2 0..6 arrays with no element equal to another at a city block distance of exactly two, and new values 0..6 introduced in row major order.at n=4A222777
- T(n,k)=Number of nXk 0..6 arrays with no element equal to another at a city block distance of exactly two, and new values 0..6 introduced in row major order.at n=16A222779
- T(n,k)=Number of nXk 0..6 arrays with no element equal to another at a city block distance of exactly two, and new values 0..6 introduced in row major order.at n=19A222779
- Smallest number m such that 3^m contains a string of n consecutive increasing integers in its decimal representation.at n=6A238507
- Number of inequivalent (mod D_4) ways five checkers can be placed on an n X n board.at n=2A242358