8830
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15912
- Proper Divisor Sum (Aliquot Sum)
- 7082
- 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
- 3528
- Möbius Function
- -1
- Radical
- 8830
- 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
- 171
- 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
- sec(arctanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...at n=6A013165
- Number of lines through at least 2 points of an n X n grid of points.at n=14A018808
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026626.at n=5A026964
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=40A027578
- Number of 3 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.at n=5A069325
- Number of 6 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.at n=2A069328
- This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5*p-4, where a(i,p) satisfies Sum_{i=1..n} C(i+4,5)^p = 6 * C(n+5,6) * Sum_{i=1..5*p-4} a(i,p) * C(n-1,i-1)/(i+5).at n=20A087109
- Let f(x)=(largest digit of x)^(smallest digit of x) + x (A097385). Sequence gives numbers n such that f(n) and f(n+1) are both prime.at n=25A097387
- Structured pentagonal icositetrahedral numbers (vertex structure 13).at n=9A100167
- a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-5).at n=31A107368
- a(n) = (2*n^3 + 5*n^2 - 17*n)/2.at n=19A162259
- Number of ways to place 6 nonattacking knights on a 6 X n board.at n=3A172215
- Total number of odd parts in the last section of the set of partitions of n.at n=30A206433
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x^2+y^2+z^2.at n=10A212092
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,2,2,1.at n=19A222107
- Numbers k such that the period of Fibonacci numbers mod k is 3*(k+10).at n=40A229466
- Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m.at n=36A230624
- The 240-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=27A244805
- Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.at n=5A255084
- Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.at n=0A255089