9703
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10048
- Proper Divisor Sum (Aliquot Sum)
- 345
- 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
- 9360
- Möbius Function
- 1
- Radical
- 9703
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Strong pseudoprimes to base 98.at n=15A020324
- Strong pseudoprimes to base 99.at n=16A020325
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=28A031595
- Multiplicity of highest weight (or singular) vectors associated with character chi_117 of Monster module.at n=38A034505
- a(n) = n^3 + n^2 + 1.at n=21A098547
- Numbers n such that 2*10^n + 6*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=15A102957
- Where records occur in A111390.at n=29A114111
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=25A144719
- a(n) = 441*n + 1.at n=21A158322
- a(n) = 22*n^2 + 1.at n=21A158537
- a(n)=Mod(2^Fibonacci(n),Fibonacci(n)).at n=21A171244
- Numbers of the form k^2+k+1 that are the product of two distinct primes.at n=46A176069
- Number of partitions of n having no parts with multiplicity 4.at n=34A184639
- Concentric 21-gonal numbers.at n=43A195049
- Number of partitions of n+8 with largest inscribed rectangle having area <= n.at n=25A218629
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..1 array extended with zeros and convolved with -1,2,-1.at n=17A222036
- Sum of the largest parts of the partitions of 4n into 4 parts.at n=9A239667
- Numbers k such that 3^k + k + 1 is a prime.at n=9A301632
- a(n) = 9*n^2 - 3*n + 1 with n>0.at n=32A304163
- Sum of the largest parts of the partitions of n into 4 parts.at n=40A308760