9709
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11840
- Proper Divisor Sum (Aliquot Sum)
- 2131
- 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
- 7776
- Möbius Function
- -1
- Radical
- 9709
- 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
- 122
- 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
- Lerch's function q_2(n) = (2^{phi(t)} - 1)/t where t = 2*n - 1.at n=13A001226
- Divisors of 2^18 - 1.at n=25A003528
- Positions of remoteness 3 in Beans-Don't-Talk.at n=38A005695
- Pseudoprimes to base 65.at n=35A020193
- Strong pseudoprimes to base 64.at n=31A020290
- Maximum cycle length in differentiation digraph for n-bit binary sequences.at n=18A038553
- Numbers k such that the digits of k^3 occur with the same frequency.at n=55A052047
- Numbers k such that k^3 is a cube whose digits occur with an equal minimum frequency of 2.at n=14A052051
- Numbers k such that 8*10^k + 3*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A056723
- Number of points of period n under the dual of the map x->2x on Z[1/6].at n=17A059990
- Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k).at n=11A063968
- Numbers k such that phi(k) is a perfect 5th power.at n=26A078165
- Non-palindromic numbers n such that phi(n) = phi(reversal(n)).at n=12A097647
- a(n) = Sum_{k=0..floor(n/6)} C(n-3k,3k) * 3^k.at n=18A100136
- Row sums in A100781.at n=18A100784
- a(n) = n*(n+5)*(50+45*n+n^2)/24.at n=13A101861
- Row sums of triangle A105537, which equals the matrix square of triangle A105535.at n=11A105538
- Arithmetic mean of row n in A112668.at n=8A110739
- Where records occur in A111390.at n=32A114111
- Number of primitive (aperiodic, or Lyndon) 3-asymmetric rhythm cycles: ones having no nontrivial shift automorphism. 3-asymmetric rhythm cycles (A115115): binary necklaces of length 3n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th and (k+2n)-th beads (modulo 3n) are of color 0.at n=8A115117