9085
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 2435
- 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
- 6864
- Möbius Function
- -1
- Radical
- 9085
- 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
- 65
- 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 e.g.f. arctanh(arcsin(arctanh(x))), odd powers only.at n=3A012142
- Pseudoprimes to base 24.at n=34A020152
- Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=18A022495
- Numbers with exactly 7 1's in their ternary expansion.at n=32A023698
- Sums of 7 distinct powers of 3.at n=17A038469
- a(n)=T(n,n+2), array T as in A049735.at n=37A049742
- Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition).at n=11A071861
- Expansion of (1-x)/(1-2*x-2*x^2-3*x^3).at n=9A077842
- a(n) = a(n-1) + a(n-2) - [a(n-2)/4] - [a(n-4)/2] - [a(n-6)/4].at n=31A173599
- Union of A071863 and A071861.at n=32A193458
- Expansion of q^(1/4) * (eta(q) / eta(q^3))^3 in powers of q.at n=36A199659
- Expansion of 1/(1 - x^3 - x^4 - x^5 - x^6 + x^9).at n=34A225484
- Composite numbers coprime to 6 such that A179382(n) = A000265(n-1), the odd part of n-1.at n=18A225913
- Number of 3 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing.at n=29A229446
- Number of n-node unlabeled rooted trees with thinning limbs and root outdegree (branching factor) 10.at n=12A244711
- Number of nX4 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.at n=4A268785
- Number of nX5 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.at n=3A268786
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.at n=31A268789
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.at n=32A268789
- Positions of ones in A264977; positions of twos in A277330.at n=53A277701