Number of the day: 7839

Properties of the number 7839:

7839 = 3² × 13 × 67 is the 6848^th composite number and is not squarefree.
7839 has 3 distinct prime factors, 12 divisors, 13 antidivisors and 4752 totatives.
7839 = 9³ + 13³ + 17³ is the sum of 3 positive cubes in 1 way.
7839 = 31³ - 28³ is the difference of 2 positive cubes in 1 way.
7839 = 3920² - 3919² = 1308² - 1305² = 440² - 431² = 308² - 295² = 120² - 81² = 92² - 25² is the difference of 2 nonnegative squares in 6 ways.
7839 is the sum of 2 positive triangular numbers.
7839 is the difference of 2 positive pentagonal numbers in 1 way.
7839 is not the sum of 3 positive squares.
7839² = 3015² + 7236² is the sum of 2 positive squares in 1 way.
7839² is the sum of 3 positive squares.
7839 is a proper divisor of 937² - 1.
7839 = '7' + '839' is the concatenation of 2 prime numbers.
7839 is palindromic in (at least) the following bases: 20, 29, -2, and -30.
7839 in base 20 = jbj and consists of only the digits 'b' and 'j'.
7839 in base 28 = 9rr and consists of only the digits '9' and 'r'.
7839 in base 29 = 999 and consists of only the digit '9'.
7839 in base 62 = 22R and consists of only the digits '2' and 'R'.

The number 7839 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033680: a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A033681: a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A036906: Scan decimal expansion of zeta(3) until all n-digit strings have been seen; a(n) is number of digits that must be scanned.
A055629: Beginning of first run of at least n consecutive happy numbers.
A072494: First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).
A113745: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1.
A113747: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 10 multiples of n-1, n-2, ..., 1, for n>=1.
A235497: 2n concatenated with n.
A241654: Number of partitions p of n such that 2*(number of even numbers in p) = (number of odd numbers in p).
A283726: T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.