6393
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8528
- Proper Divisor Sum (Aliquot Sum)
- 2135
- 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
- 4260
- Möbius Function
- 1
- Radical
- 6393
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 168
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=13A020417
- 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 52.at n=33A031550
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=29A031806
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4).at n=41A035548
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A046254
- a(n) = T(8,n), array T given by A047858.at n=9A048469
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=35A052282
- Least m such that 1 + prime(n)*2^m is a prime, or -1 if no such m exists.at n=75A057192
- a(n) = least odd number such that all pairwise sums a(i) + a(j), i < j <= n, are distinct.at n=43A080430
- a(n) = 4*a(n-1) - a(n-2) for n>1, a(0)=3, a(1)=9.at n=6A082841
- a(n) = 4*a(n-2) - a(n-4).at n=12A083336
- Record values in A040076.at n=7A103964
- Conjectured numbers n such that the trajectory of n as defined in A003508 is unique.at n=27A105233
- Expansion of q / (chi(q) * chi(q^3))^6 in powers of q where chi() is a Ramanujan theta function.at n=8A107653
- Expansion of (eta(q^2)eta(q^6)/(eta(q)eta(q^3)))^6 in powers of q.at n=8A123653
- Semiprimes s such that s-/+4 are primes.at n=41A125216
- Triangular array t read by rows: t(0,k) is p(k), the number of partitions of the k-multiset {0,0,...,0} with k zeros. For 0 <= n < k, t(n, k) is the number of partitions of the k-multiset {0, 0, ..., 0, 1, 2, 3, ..., k-n} with n zeros.at n=42A126442
- Centered 47-gonal numbers.at n=16A129428
- a(n) = 3*n^2 + n - 1.at n=45A144391
- a(n) = 2*a(n-1) - a(n-2) + 2*a(n-3) - a(n-4) + a(n-5), n > 5.at n=16A152718