6096
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
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 15872
- Proper Divisor Sum (Aliquot Sum)
- 9776
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 0
- Radical
- 762
- Omega Function (Ω)
- 6
- 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
- 111
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=12A025513
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 13.at n=5A031691
- Expansion of (1 - sqrt((1-2*x)*(1-6*x)))/(2*x*(2-3*x)).at n=7A033543
- Denominators of continued fraction convergents to sqrt(28).at n=7A041045
- Denominators of continued fraction convergents to sqrt(700).at n=11A042347
- Numbers n such that 237*2^n-1 is prime.at n=30A050877
- 24-gonal numbers: a(n) = n*(11*n-10).at n=24A051876
- Partial sums of A014827.at n=5A052244
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=24A060354
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=31A060672
- a(n) = floor(n^3/9).at n=38A061263
- Determinant of the n X n matrix whose element (i,j) equals the |i-j|-th composite number, or 1 if i=j.at n=4A071080
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along antidiagonals (A069480).at n=21A072332
- Meandric numbers for a river (or directed line) crossing two perpendicular roads at n points, beginning in the (-,-) quadrant, crossing x axis first and ending in any quadrant.at n=10A077551
- Numbers k such that the three second-degree cyclotomic polynomials x^2 + 1, x^2 - x + 1 and x^2 + x + 1 are simultaneously prime when evaluated at x=k.at n=9A087277
- Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 51 for n > 0.at n=22A102014
- Sequence of denominators of the continued fraction derived from the sequence of the numbers of distinct factors of a number (A001221, also called omega(n)).at n=15A112596
- Number of (directed) Hamiltonian paths in the 3 X n knight graph.at n=9A118067
- Triangle T, read by rows, where column k equals column k of T^(k+1) shift down 1 row, with T(n,n)=T(n+1,n)=1 for n>=0.at n=60A121391
- Triangle read by rows: row n is the first row of the matrix M[n]^(n-1), where M[n] is the n X n tridiagonal matrix with main diagonal (2,4,4,...) and super- and subdiagonals (1,1,1,...).at n=28A124575