6857
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6858
- 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
- 6856
- Möbius Function
- -1
- Radical
- 6857
- 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
- 57
- 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
- 882
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=33A007765
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=12A020392
- Upper prime of a difference of 16 between consecutive primes.at n=22A031935
- Primes of form x^2 + 94*y^2.at n=44A033204
- Number of partitions in parts not of the form 7k, 7k+2 or 7k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 2 are greater than 1.at n=49A035938
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=31A035998
- Primes of the form n^3 - 2.at n=2A038600
- Future of the smallest-perizeroin komet in Kimberling's expulsion array (A035486).at n=27A038807
- Number of primes between n*100000 and (n+1)*100000.at n=21A038825
- Primes whose consecutive digits differ by 2 or 3.at n=39A048414
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=10A052235
- Expansion of (1-x^3)/(1-2x-x^3+x^4).at n=12A052903
- Primes p such that a pure prime power occurs between p and the next prime.at n=42A053607
- Primes p of form q^k-2 where q is also a prime and k > 1.at n=16A053705
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=30A054222
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=18A054827
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=23A059798
- Smallest prime p such that x = n is a solution mod p of x^3 = 2, or 0 if no such prime exists.at n=17A059940
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=16A060261
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=32A060518