2694
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5400
- Proper Divisor Sum (Aliquot Sum)
- 2706
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 896
- Möbius Function
- -1
- Radical
- 2694
- 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
- 66
- 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
- Number of unlabeled planar trees (also called plane trees) with n nodes.at n=12A002995
- Number of rooted trees with n nodes and 2-colored non-leaf nodes.at n=7A004113
- Coordination sequence T1 for Zeolite Code LTL.at n=38A008138
- Coordination sequence T8 for Zeolite Code MFS.at n=32A008180
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=40A011904
- Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.at n=45A014977
- Number of ordered 5-tuples of integers from [ 2,n ] with no global factor.at n=10A015651
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=24A023177
- Number of n-celled polyknights with bilateral symmetry.at n=8A030447
- 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 50.at n=17A031548
- Fractional part of square root of a(n) starts with 9: first term of runs.at n=46A034115
- Sequence arising in search for Legendre sequences.at n=10A039791
- Numbers k such that string 2,3 occurs in the base 9 representation of k but not of k-1.at n=37A044272
- Numbers n such that string 9,4 occurs in the base 10 representation of n but not of n-1.at n=28A044426
- Numbers n such that string 2,3 occurs in the base 9 representation of n but not of n+1.at n=37A044653
- Numbers k such that string 9,4 occurs in the base 10 representation of k but not of k+1.at n=28A044807
- Numbers whose base-4 representation contains exactly one 0 and four 2's.at n=30A045046
- Numbers whose base-4 representation contains exactly one 1 and four 2's.at n=36A045094
- a(n)=number of numbers h^2+k^2 that are <=2n^2; equivalently, a(n)=T(n,n), array T as in A048149.at n=41A048150
- Record subsequence of b(3k+2), b()=A048142().at n=27A051058