8803
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
- 2
- Divisor Sum
- 8804
- 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
- 8802
- Möbius Function
- -1
- Radical
- 8803
- 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
- 1096
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- 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 93.at n=13A031591
- Upper prime of a difference of 20 between consecutive primes.at n=12A031939
- Numbers whose base-7 representation contains exactly four 4's.at n=3A043412
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=31A046006
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=21A049493
- a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=9A049494
- a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.at n=48A049616
- a(n) = the smallest number m such that there are exactly n sets of consecutive primes, each of which has an arithmetic mean of m.at n=9A050237
- Euclid-Mullin sequence (A000945) with initial value a(1)=257 instead of a(1)=2.at n=27A051333
- [e^n]-th prime.at n=7A055739
- Prime factors of numbers in A006521 (numbers k that divide 2^k + 1).at n=5A057719
- Prime divisors of solutions to 10^n == 1 (mod n).at n=6A066364
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 5), divided by 5.at n=14A073362
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=43A079652
- Smallest balanced prime of order n.at n=30A082080
- Smallest balanced prime of order n.at n=31A082080
- a(n) = the smallest prime p such that there are exactly n sets of consecutive primes, each of which has an arithmetic mean of p.at n=8A082431
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=19A092475
- Prime(p)-4 for primes p such that prime(p) - 4 is prime.at n=24A094069
- Primes prime(k) such that (prime(k-1) + prime(k+1) + prime(k+2))/prime(k) = 3.at n=16A094933