8863
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8864
- 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
- 8862
- Möbius Function
- -1
- Radical
- 8863
- 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
- 78
- 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
- 1105
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=14A002147
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=43A024846
- 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=18A031591
- Numbers whose set of base-14 digits is {1,3}.at n=28A032921
- Binomial transform of A003603.at n=12A035530
- Numbers n such that (25^n+1)/26 is a prime.at n=10A057191
- a(n) = prime(2*n*(n+1)+1).at n=23A078746
- a(n) = largest prime <= n*prime(n).at n=44A079780
- First column of square array A082011.at n=45A082013
- Primes in which no digit is coprime to its neighbors.at n=27A088297
- p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.at n=35A089527
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=13A091362
- a[n] is the 5th term in Euclid-Mullin (EM) prime sequence initiated with n-th prime.at n=46A094461
- a(1) = 3, a(n) = a(n-1) + 4*(a(n-1)-floor(a(n-1)^(1/3))^3).at n=17A096297
- Rearrangement of primes (other than 2 and 5) so that the unit digit follows the pattern 1,3,7,9,1,3,7,9,... and every partial concatenation is prime.at n=41A110798
- Number of benzenoids with 21 hexagons with C_(2v) symmetry containing n carbon atoms.at n=14A121983
- Primes of the form 7x^2+120y^2.at n=38A139987
- Primes of the form 42x^2+42xy+43y^2.at n=31A140028
- Primes of the form 88x^2+32xy+127y^2.at n=18A140630
- Primes of the form 210k + 43.at n=23A140849