9719
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9720
- 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
- 9718
- Möbius Function
- -1
- Radical
- 9719
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1198
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^43 - 1.at n=2A003548
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=44A023280
- Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=11A023310
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=28A025025
- 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=30A031595
- Multiplicity of highest weight (or singular) vectors associated with character chi_6 of Monster module.at n=45A034394
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=17A050266
- Smallest value of x such that M(x) = -n, where M(x) is Mertens's function A002321.at n=31A051401
- Primes p such that x^43 = 2 has no solution mod p.at n=28A059243
- Primes with 17 as smallest positive primitive root.at n=14A061329
- Primes starting and ending with 9.at n=20A062335
- a(n) is the smallest prime p such that p*n! +- 1 are twin primes.at n=44A064998
- a(1) = 97 ( the smallest prime beginning with 9) and then the smallest prime with leading digits containing a(n-1).at n=2A068852
- Primes > 1000 in which every substring of lengths 2 and 3 are also prime.at n=6A069490
- Take A000040, omit commas: 23571113171923..., select 4-digit primes seen when scanning from left.at n=21A073037
- Primes p such that 5 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=14A080185
- Primes that are a concatenation of a prime and its first digit.at n=27A085414
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=5A086103
- Smallest prime p such that 2+p^n is a prime, or 0 if no such prime exists.at n=60A087575
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=27A088483