6918
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13848
- Proper Divisor Sum (Aliquot Sum)
- 6930
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- -1
- Radical
- 6918
- 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
- 106
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Representation degeneracies for boson strings.at n=38A005290
- a(n) = floor(n*(n-1)*(n-2)/15).at n=48A011897
- Partial sums of Catalan numbers (A000108).at n=9A014137
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite JBW = NaJ (Barrer and White) Na3[Al3Si3O12].1.5H2O starting with a T2 atom.at n=5A019022
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=19A022863
- a(n) = Sum_{k=0..floor(n/2)} T(n,k) * T(n,k+1), with T given by A026009.at n=7A027288
- 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=14A031580
- "DGJ" (bracelet, element, labeled) transform of 2,2,2,2...at n=7A032222
- Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=39A036802
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=42A039624
- Numerators of continued fraction convergents to sqrt(824).at n=8A042590
- McKay-Thompson series of class 40C for Monster.at n=43A058664
- Position of A075165(n+1) in A014486.at n=28A075161
- Number of columns in the character table of the symmetric group S_n that have zero sum.at n=31A085642
- Triangle, read by rows, where the n-th diagonal is generated from the n-th row by the sum of the products of the n-th row terms with binomial coefficients.at n=56A091491
- Triangle (read by rows) formed by setting all entries in the first column and in the main diagonal ((i,i) entries) to 1 and the rest of the entries by the recursion T(n, k) = T(n-1, k) + T(n, k-1).at n=64A096465
- Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having leftmost valley at altitude k (if path has no valleys, then this altitude is considered to be 0).at n=38A097607
- Bisection of A014137.at n=4A099975
- Triangle read by rows: number of Dyck paths of semilength n with k peaks before the first return (1<= k <n).at n=37A101974
- Triangle read by rows: number of Dyck paths of semilength n with k peaks after the first return (0 <= k < n).at n=56A101975