8690
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 8590
- 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
- 3120
- Möbius Function
- 1
- Radical
- 8690
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 52
- 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
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=20A010819
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=34A010819
- a(n) = n*(9*n - 1)/2.at n=44A022266
- Expansion of 1/((1-3x)(1-5x)(1-9x)(1-12x)).at n=3A028070
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=46A075342
- Look at the first 10 digits of the sequence: they are all different. The same for the next 10. And the next 10, etc. This sequence is the slowest increasing one with that property.at n=45A097912
- Start with 1 and repeatedly reverse the digits and add 67 to get the next term.at n=28A118214
- Number of Raspail perfect graphs on n nodes.at n=7A123452
- Partial sums of [A052938(n)^2].at n=43A162899
- Expansion of (8+6*x)/(1-x)^5.at n=9A190048
- Number of (strongly) superprimitive binary sequences of length n.at n=16A216214
- Number of (n+1) X 2 0..1 matrices with each 2 X 2 permanent equal.at n=7A224738
- T(n,k) is the number of (n+1) X (k+1) 0..1 matrices with each 2 X 2 permanent equal.at n=28A224745
- T(n,k) is the number of (n+1) X (k+1) 0..1 matrices with each 2 X 2 permanent equal.at n=35A224745
- Number of acute triangles on a centered hexagonal grid of size n.at n=4A241224
- Expansion of Product_{k>=1} ((1+x^k) / ((1-x^(2*k-1)) * (1-x^(8*k-4)))).at n=25A280908
- The number of e-perfect numbers below 10^n.at n=5A307822