8985
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 5415
- 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
- 4784
- Möbius Function
- -1
- Radical
- 8985
- 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
- 184
- 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
- Numbers that are the sum of 4 positive 6th powers.at n=29A003360
- Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945.at n=45A060169
- Numbers n such that phi(2n-1) = sigma(n).at n=31A067230
- Interprimes which are of the form s*prime, s=15.at n=33A075290
- Convolution of sequence of primes with sequence sigma(n).at n=21A086718
- a(n) = 997*n + 1009.at n=8A100776
- Take an n X n square grid of points in the plane; a(n) = number of non-isomorphic ways to divide the points into two sets using a straight line.at n=21A116696
- a(1)=1, a(n) = a(n-1) + n^3 if n odd, a(n) = a(n-1) + n^5 if n is even.at n=5A140156
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1000-1111-0100-0100 pattern in any orientation.at n=10A146830
- n*(n+1)*(15*n^2-n-8)/12.at n=9A172047
- a(n+1) = a(n) + floor(a(n)/6) with a(0) = 6.at n=50A182307
- Number of n X 3 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.at n=4A189258
- T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.at n=25A189264
- Number of 5Xn binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.at n=2A189267
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 510", based on the 5-celled von Neumann neighborhood.at n=29A272700
- Numbers k such that (76*10^k + 77)/9 is prime.at n=16A294633
- Numbers k such that 2k + 1 is a palindromic prime.at n=39A322947
- Main diagonal of A332367, divided by 4.at n=20A332368