6367
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6368
- 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
- 6366
- Möbius Function
- -1
- Radical
- 6367
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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
- 830
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + 2*a(n-2) + (-1)^n.at n=13A006904
- n written in fractional base 9/6.at n=43A024654
- 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 79.at n=15A031577
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=10A031820
- Primes that are concatenations of k with k + 4.at n=8A032627
- Lucky numbers that are concatenations of n with n + 4.at n=7A032654
- Lists of 4 primes in arithmetic progression; common difference 6.at n=25A033449
- 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=22A046122
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=41A050065
- Primes p from A031924 such that A052180(p) = 23.at n=6A052238
- Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=6A054801
- a(n) = 6*n^2 + 6*n + 31.at n=32A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=29A060844
- Primes in which odd positioned digits are prime and even positioned digits are composite. The least significant digit is taken to be the first digit.at n=39A083820
- Numbers k such that k!!!!! - 1 is prime.at n=49A085149
- Numbers n such that A003313(n) = A003313(2n).at n=19A086878
- Primes whose reversal is a multiple of 23.at n=34A087767
- Happy-go-Lucky primes: primes arising in A091431.at n=33A091432
- Number of primes less than 10^n which do not contain the digit 6.at n=4A091640
- Number of primes p < 10^n for which 2 is a cubic residue (mod p).at n=4A097142