6883
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
- 6884
- 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
- 6882
- Möbius Function
- -1
- Radical
- 6883
- 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
- 106
- 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
- 886
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (6^k - 1)/5 is prime.at n=10A004062
- Least sum of 4 positive cubes in exactly n ways.at n=5A025420
- Primes of the form n^2 - 6.at n=14A028880
- Primes p such that digits of p appear in p^2 and p^3.at n=39A030085
- 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 81.at n=26A031579
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=32A031808
- Lower prime of a pair of consecutive primes having a difference of 16.at n=23A031934
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=28A046006
- Primes p such that a pure prime power occurs between p and the next prime.at n=43A053607
- Largest prime below prime(n)^2 (A001248).at n=22A054270
- Prime number spiral (clockwise, East spoke).at n=15A054555
- Primes p such that x^37 = 2 has no solution mod p.at n=23A059223
- Primes p such that x^31 = 2 has no solution mod p.at n=26A059225
- Largest prime < a nontrivial power of a prime.at n=47A060845
- Triangle read by rows: a(n,m) = T[n,m,m] where T[i,j,k] is the 3-dimensional pyramid defined by T[n,m,0]=1 and T[i,j,k]=0 if j>i or k>j and T[i,j,k]=T[i-1,j,k]+T[i,j-1,k]+T[i,j,k-1].at n=32A065078
- Primes with either no internal digits or all internal digits are 8.at n=44A069683
- Smallest prime p such that sum of p and the next n-1 primes is a perfect square, or 1 if no such prime exists.at n=43A073887
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=26A079652
- Alternate prime and composite numbers not included earlier such that every partial concatenation is a prime: a(2n) is composite and a(2n-1) is prime.at n=48A088614
- a(n) is the n-th prime that ends with prime(n), or 0 if there do not exist n primes ending with prime(n).at n=22A089778