11704
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 17096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2926
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 143
- Smith Number
- no
- 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
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=38A004112
- From generalized Catalan numbers.at n=5A006631
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=22A011925
- Theta series of lattice Kappa_7.at n=14A015236
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=44A033580
- a(n) = 4*n*(2*n + 1).at n=38A033586
- Positive numbers having the same set of digits in base 9 and base 10.at n=40A037443
- Sin(n) decreases monotonically to -1.at n=21A046964
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=51A049325
- Numbers k such that 209*2^k-1 is prime.at n=10A050856
- Numbers k such that usigma(k) = phi(k)*omega(k), where omega(k) is the number of distinct prime divisors of k.at n=10A063795
- Triangle read by rows of numbers of paths in a lattice satisfying certain conditions.at n=41A071948
- Expansion of 1/((1-x^2)*(1-4*x+x^2)).at n=7A072335
- a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).at n=20A079037
- Starting positions of strings of three 2's in the decimal expansion of Pi.at n=14A083606
- Triangle read by rows: T(n,k) is the number of noncrossing trees with root degree equal to k.at n=39A092276
- Inverse of Riordan array (1,x(1-x)^2), A109970.at n=49A109971
- Coefficients of the series giving the best rational approximations to sqrt(3).at n=3A123480
- Number of maximal directed trails in the labeled n-ladder graph P_2 X P_n.at n=39A135443
- Long leg B of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.at n=10A155174