9661
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9662
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9660
- Möbius Function
- -1
- Radical
- 9661
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1193
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=48A005710
- Expansion of 1/(1 - x^8 - x^9 - ...).at n=56A017902
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=11A020408
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=37A024839
- Primes of the form j^2 + (j+1)^2.at n=24A027862
- Lower prime of a pair of consecutive primes having a difference of 16.at n=31A031934
- Dirichlet convolution of [ 1,1,1,... ] with A034778.at n=4A034779
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=24A036570
- Euclid-Mullin sequence (A000945) with initial value a(1)=13 instead of a(1)=2.at n=20A051310
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=38A052357
- Primes p whose period of reciprocal equals (p-1)/7.at n=10A056212
- a(n) = (2*n-1)^2 + (2*n)^2.at n=34A060820
- Numbers having exactly twelve anti-divisors.at n=35A066478
- a(n) = (prime(n)^2 + 1)/2.at n=32A066885
- Prime hypotenuses of Pythagorean triangles with a prime leg.at n=11A067756
- Primes with either no internal digits or all internal digits are 6.at n=50A069681
- Primes of the form 210n + 1.at n=21A073102
- a(n) = 8*n^2 - 4*n + 1.at n=35A080856
- Downward vertical of triangular spiral in A051682.at n=23A081272
- Primes of the form (4*k + 1)^2 + (4*k + 2)^2 where k=0,1,2,3,...at n=7A087871