8387
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8388
- 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
- 8386
- Möbius Function
- -1
- Radical
- 8387
- 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
- 65
- 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
- 1050
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=22A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=22A007708
- 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 91.at n=8A031589
- Primes that are concatenations of k with k + 4.at n=10A032627
- Dirichlet convolution of b_n=2^(n-1) with Primes (with 1).at n=13A034736
- Numerators of continued fraction convergents to sqrt(718).at n=5A042382
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=23A045083
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=25A046018
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=26A055472
- Primes p such that p^6 reversed is also prime.at n=41A059699
- a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square.at n=13A062064
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=18A065117
- Numbers of the form prime(prime(n)+1), with n satisfying prime(n)+2 = prime(n+1).at n=37A088985
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=24A089634
- Primes which are also prime if their base 32 representation is interpreted as a base 10 number.at n=42A090716
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=26A090717
- Lessers of twin prime pairs whose greater has a prime prime index.at n=35A094068
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=13A095697
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=10A096339
- Primes by index in A001945.at n=49A104499