8933
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8934
- 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
- 8932
- Möbius Function
- -1
- Radical
- 8933
- 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
- 140
- 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
- 1111
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 8*a(n-2) - 9*a(n-4).at n=11A002536
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=4A020412
- Primes of form n^2 + n + 3.at n=13A027753
- Decimal part of a(n)^(1/4) starts with a 'nine digits' anagram.at n=2A034279
- Odd numbers in sorted order from generation 2 onwards.at n=26A048462
- Smallest prime occurring in generation n (0 if none).at n=9A048463
- Distinct primes in sorted order from generation 2 onwards.at n=13A048465
- Digitally balanced numbers in both bases 2 and 3.at n=25A049361
- Number of monic polynomials with integer coefficients of degree n with all roots in unit disc.at n=14A051894
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=22A054824
- Primes p such that x^29 = 2 has no solution mod p.at n=36A059256
- Centered 22-gonal numbers.at n=28A069173
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=24A079796
- a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) + 2 is a prime.at n=45A085013
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=31A086499
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=36A090609
- Difference in count of primes <= mean and > mean below 10^n in A092849 and A092850.at n=6A092851
- A variation on Flavius's sieve (A000960): Start with the primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=37A099207
- Primes of the form 47*k + 3.at n=25A100494
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=17A119595