9237
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12320
- Proper Divisor Sum (Aliquot Sum)
- 3083
- 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
- 6156
- Möbius Function
- 1
- Radical
- 9237
- 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
- 34
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( binomial(n,9)/10 ).at n=19A011846
- a(n) = floor(binomial(n,10)/10).at n=19A011856
- 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 64.at n=19A031562
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A033681
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=35A050963
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=22A063058
- Floor of area of triangle with consecutive prime sides.at n=33A096377
- Numbers k such that k and 5*k, taken together, are zeroless pandigital.at n=9A115930
- a(n) = least k such that the remainder when 21^k is divided by k is n.at n=23A128361
- G.f. satisfies: A(x) = 1 + x*A(x) * A( x*A(x)^2 ).at n=7A162661
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=13A179130
- G.f.: Sum_{n>=0} a(n)*x^n/n!^5 = [ Sum_{n>=0} x^n/n!^5 ]^3.at n=3A180350
- T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions.at n=48A187857
- Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=6A187859
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125).at n=31A204128
- Numbers n such that n!8-2 is prime.at n=49A204664
- G.f.: Sum_{n>=0} x^n * Sum_{k=0..n} binomial(n,k)^2 * x^k*(1-x)^(n-k).at n=16A217615
- T(n,k)=Number of nX(k+1) 0..2 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope.at n=28A223309
- Number of 1X(n+1) 0..2 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope.at n=7A223310
- Number of (n+5)X7 0..1 matrices with each 6X6 subblock idempotent.at n=7A224571