16798
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25992
- Proper Divisor Sum (Aliquot Sum)
- 9194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8136
- Möbius Function
- -1
- Radical
- 16798
- 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
- 66
- 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
- Dirichlet convolution of d(n) (# of divisors) with Catalan numbers.at n=10A034774
- T(n,n-3), array T as in A054110.at n=34A054112
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=23A129133
- Numbers of the form |a^b - c^d| where a, b, c and d are the first 4 primes.at n=8A168385
- Numbers k such that, taken together, the base-10 and base-b expansions of k are pandigital for some b < 10.at n=4A174596
- Monotonic ordering of nonnegative differences 7^i-3^j, for 40>= i>=0, j>=0.at n=27A192154
- Triangle, read by rows, such that row n equals the coefficients of x^(n^2+n-1+k) in F(x,n) for k = 1..n, where F(x,n) = (1 + x*F(x,n))*(1 + x^n/F(x,n)), for n>=1.at n=45A200171
- Years >= 1801 in which Christmas falls in Sukkot.at n=43A222419
- Number of length n+6 0..2 arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms.at n=3A250367
- T(n,k)=Number of length n+6 0..k arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms.at n=13A250373
- Number of length 4+6 0..n arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms.at n=1A250377
- Number of (n+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=7A250763
- Number of close American football games: number of ways for the game to end after n points have been scored and never be separated by more than one score after each play.at n=18A300998
- Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UU, HH, HD and DH.at n=25A329692
- Floor of area of triangle whose sides are consecutive Ulam numbers (A002858).at n=39A330909
- a(n) = (1/10) * Sum_{k=0..n-1} binomial(10*n,10*k+1).at n=2A387753