2895
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4656
- Proper Divisor Sum (Aliquot Sum)
- 1761
- 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
- 1536
- Möbius Function
- -1
- Radical
- 2895
- 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
- 53
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=47A000223
- a(n) = (n-1)!! - (n-2)!!.at n=8A007911
- Coordination sequence T7 for Zeolite Code CON.at n=38A009874
- Second-order Fibonacci numbers.at n=15A010049
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=26A015633
- Initial pile sizes which guarantee a win for player 2 in a certain variant of Nim.at n=35A016741
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T3 atom.at n=11A019081
- Coordination sequence T3 for Zeolite Code IFR.at n=38A024984
- a(n) = self-convolution of row n of array T given by A027926.at n=7A027989
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 17.at n=24A031515
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=35A044311
- Numbers n such that string 9,5 occurs in the base 10 representation of n but not of n-1.at n=30A044427
- Numbers n such that string 6,6 occurs in the base 9 representation of n but not of n+1.at n=35A044692
- Numbers k such that string 9,5 occurs in the base 10 representation of k but not of k+1.at n=30A044808
- Numbers whose base-3 representation contains exactly three 0's and four 2's.at n=33A045008
- Number of factorizations with one level of parentheses indexed by prime signatures. A050336(A025487).at n=41A050337
- a(n) = a(n-1) + 2*a(floor(n/2)) if n > 0, otherwise 1.at n=19A058039
- Least k > n such that C(2n,n) divides C(2k,k).at n=44A071705
- Least k > n such that C(2n,n) divides C(2k,k).at n=43A071705
- Least k > n such that C(2n,n) divides C(2k,k).at n=42A071705