9701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9900
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 9504
- Möbius Function
- 1
- Radical
- 9701
- 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
- 166
- 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
- a(n) = n^3 + n^2 - 1.at n=20A003777
- a(n) = 10*a(n-1) - a(n-2); a(0) = 0, a(1) = 1.at n=5A004189
- Denominators of continued fraction convergents to sqrt(24).at n=9A041039
- Denominators of continued fraction convergents to sqrt(96).at n=9A041173
- Denominators of continued fraction convergents to sqrt(216).at n=9A041403
- Denominators of continued fraction convergents to sqrt(384).at n=9A041729
- Indices of square numbers that are also pentagonal.at n=2A046173
- T(n,n), array T as in A047040; T(n,n), array T given by A047050.at n=9A047042
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=41A052049
- Number of positive integers <= 2^n of form 2 x^2 + 7 y^2.at n=16A054157
- Numbers n such that sigma(n)^2 - phi(n)^2 is a perfect square.at n=30A057654
- a(n) = n^4 - 3*n^2 + 1.at n=10A057722
- Composite numbers whose divisors (except 1) all contain the digit 9.at n=17A062680
- Smallest solution m to (n+1)*phi(m) = n*sigma(m), or -1 if no solution exists.at n=23A065824
- a(n) = A065824(A047845(n+1)).at n=9A065884
- Nonprime numbers k such that (k+1)*Sum_{d|k} 1/(d+1) is an integer.at n=12A069155
- (p^2-5)/4 for odd primes p.at n=43A074367
- Duplicate of A069155.at n=12A074977
- Numbers n such that (n! + 2)/2 is a prime.at n=17A082672
- Least j > 1 for n > 0 such that j^2 = (n^2 + 1)*(k^2) + (n^2 + 1)*k + 1 where k sequence = A106230.at n=21A106229