9785
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12480
- Proper Divisor Sum (Aliquot Sum)
- 2695
- 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
- 7344
- Möbius Function
- -1
- Radical
- 9785
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 197
- 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
- no
- Odd
- yes
Appears in sequences
- The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.at n=37A005576
- Maxima of the rows of the triangle A259095.at n=41A005577
- Shifts 2 places left when binomial transform is applied twice with a(0) = a(1) = 1.at n=9A007472
- Gaps of 8 in sequence A038593 (lower terms).at n=9A038655
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=41A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=28A038860
- a(n) = (n+5)^3 - n^3.at n=23A038867
- a(n)=T(n,n+1), array T as in A049735.at n=39A049741
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=35A064975
- Numbers k such that phi((prime(k)-1)/2) = sigma(k).at n=33A068474
- Number of positions that are exactly n moves from the starting position in the Bicube or Bandaged Rubik's Cube puzzle.at n=12A079771
- Expansion of 1/sqrt((1-x)^2-8x^4).at n=14A098483
- Number of inequivalent ways to dissect a square into n rectangles of equal perimeter.at n=9A100664
- a(n) = 1/2 times the cancellation factor in reducing Sum_{k=0 to 2n+1} 1/k! to lowest terms.at n=53A102584
- Positions of 4's in A038800 with offset 1.at n=36A115095
- a(n) = (n/3 + 7/9)*2^(n - 1) + (-1)^n/9.at n=11A127984
- Partial sums of A003325.at n=33A139211
- Coefficients of Hankel moment polynomials for c=1/2:f(a,b) = Gamma[a + b]/Gamma[a] p(x,n)=Sum[Binomial(n, k)*(f(c, n)/(f(c, n - k)*f(c, k)))*x^k, {k, 0, n}].at n=41A171605
- Coefficients of Hankel moment polynomials for c=1/2:f(a,b) = Gamma[a + b]/Gamma[a] p(x,n)=Sum[Binomial(n, k)*(f(c, n)/(f(c, n - k)*f(c, k)))*x^k, {k, 0, n}].at n=44A171605
- Numbers k such that 27*k+1 is a square.at n=38A219258