6317
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6318
- 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
- 6316
- Möbius Function
- -1
- Radical
- 6317
- 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
- 124
- 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
- 822
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=34A007353
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=18A020384
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=32A031418
- Lists of 4 primes in arithmetic progression; common difference 6.at n=21A033449
- Numbers having three 8's in base 9.at n=13A043487
- Numbers whose base-3 representation contains no 0's and exactly one 1.at n=30A044966
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=21A045183
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=21A046122
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=45A047948
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=22A050962
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=17A052229
- a(n+1) is the smallest prime ending with a(n), where a(1)=7.at n=3A053584
- Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.at n=19A053736
- Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=5A054801
- a(n) = floor(sqrt(n!)).at n=11A055226
- Primes q of form q=10p+7, where p is also prime.at n=30A055783
- Primes p such that p^10 reversed is also prime.at n=29A059703
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=28A064026
- a(1) = 7; thereafter a(n) = the smallest prime of the form d0...0a(n-1), where d is a single digit, or 0 if no such prime exists.at n=3A077715
- a(n) = prime(n*(n+1)/2+2).at n=40A078722