8635
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11376
- Proper Divisor Sum (Aliquot Sum)
- 2741
- 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
- 6240
- Möbius Function
- -1
- Radical
- 8635
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of Product_{k>=1} (1 - x^k)^11.at n=29A010819
- Powers of fourth root of 3 rounded to nearest integer.at n=33A018052
- Powers of fourth root of 3 rounded up.at n=33A018053
- a(n) = Sum_{0<=j<=i<=n} A027113(i, n+j).at n=8A027130
- [ exp(7/13)*n! ].at n=6A030927
- Number of 5-ary rooted trees with n nodes and height exactly 9.at n=15A036640
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives i values.at n=35A053719
- a(n) = Sum_{i=1..n} (n-i+1)*phi(i).at n=43A103116
- Smallest odd interprime divisible by n-th odd prime.at n=35A124622
- Odd interprimes divisible by 11.at n=40A126230
- The first 8 values are predefined, the remaining set to a(n) = 48*prime(n)+n+2.at n=40A129025
- Erroneous version of A140763.at n=24A159579
- Last divisors at which integral quotients occur consecutively.at n=3A159639
- Coefficient of x in the reduction by (x^2 -> x + 1) of the polynomial p(n,x) given in Comments.at n=10A192879
- Numbers n such that 4n+3 is a palindromic prime.at n=29A193419
- Number of distinct values taken by 5th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=18A199296
- Cyclically smooth Lyndon words with 4 colors.at n=11A215336
- Smallest k such that the number k^n in its decimal representation has a prime number of copies of the digit d for each d from 0 through 9.at n=20A217051
- Number of n X n 0..2 arrays with rows, diagonals and antidiagonals unimodal.at n=2A223783
- Number of n X 3 0..2 arrays with rows, diagonals and antidiagonals unimodal.at n=2A223784