10681
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11664
- Proper Divisor Sum (Aliquot Sum)
- 983
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9700
- Möbius Function
- 1
- Radical
- 10681
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Pseudoprimes to base 65.at n=38A020193
- a(n) = T(2n-1,n-2), T given by A026670. Also T(2n-1,n-2) = T(2n,n+2), T given by A026725 and T(2n,n-2), T given by A026736.at n=6A026675
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=15A031832
- Consider all integer triples (i,j,k), j >= k > 0, with i^3 = binomial(j+2,3) + binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=14A054208
- Expansion of g.f.: (1 + x)/(1 - 10*x + x^2).at n=4A054320
- Ratio-dependent insertion sequence I(0.36704) (see the link below).at n=8A085376
- Semiprimes in A056105.at n=25A113519
- a(n) the smallest composite number of n+1 digits that becomes a prime by incrementing any one of the higher order digits.at n=3A124117
- Numerators of continued fraction convergents to sqrt(3/2).at n=8A142238
- a(0)=a(1)=1, a(2)=6, a(3)=11; a(n+4) = 10*a(n+2) - a(n).at n=9A152448
- A156977/3.at n=0A164565
- a(n) = (9 + 14*n + 12*n^2 + 4*n^3)/3.at n=19A166911
- First number in the n-th row of A172002.at n=39A168388
- Number of binary words of length n with properties that there is no pair of adjacent 1's and no subword of the form X^4 for any string X.at n=25A170877
- Solutions y of the Mordell equation y^2 = x^3 - 3a^2 - 1 for a = 0,1,2, ... (solutions x are given by A053755).at n=11A173200
- Square root of floor(A055851(n)/6).at n=15A204519
- G.f. satisfies: A(x) = Sum_{n>=0} x^n * Product_{k=1..n} A(x^k).at n=13A206301
- Integers m such that m^3 is the sum of two or more consecutive integer squares.at n=15A212018
- The triangle associated with the family of polynomials W_n(x).at n=50A228356
- Denominators of the other-side convergents to sqrt(6).at n=8A259594