Number of the day: 7804

Properties of the number 7804:

7804 = 2² × 1951 is the 6816^th composite number and is not squarefree.
7804 has 2 distinct prime factors, 6 divisors, 11 antidivisors and 3900 totatives.
7804 has a prime digit sum 19 in base 10.
Reversing the decimal digits of 7804 results in a semiprime.
7804 = 6³ + 9³ + 19³ is the sum of 3 positive cubes in 1 way.
7804 = 1952² - 1950² is the difference of 2 nonnegative squares in 1 way.
7804 is the difference of 2 positive pentagonal numbers in 1 way.
7804 is not the sum of 3 positive squares.
7804² is the sum of 3 positive squares.
7804 is a proper divisor of 809¹⁰ - 1.
7804 is palindromic in (at least) the following bases: 22, 40, -50, and -83.
7804 in base 11 = 5955 and consists of only the digits '5' and '9'.
7804 in base 22 = g2g and consists of only the digits '2' and 'g'.
7804 in base 24 = dd4 and consists of only the digits '4' and 'd'.
7804 in base 25 = cc4 and consists of only the digits '4' and 'c'.
7804 in base 39 = 554 and consists of only the digits '4' and '5'.
7804 in base 40 = 4Z4 and consists of only the digits '4' and 'Z'.

The number 7804 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A014404: Number of ways of getting 5 of a kind, straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.
A053080: Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.
A053081: Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, straight flush or 5 of a kind in 5-card poker when joker is wild.
A078414: a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2).
A123284: Number of polyhexes with 24 hexagons, C_(2v) symmetry and containing n carbon atoms.
A153713: Greatest number m such that the fractional part of Pi^A137994(n) <= 1/m.
A153714: Greatest number m such that the fractional part of Pi^A153710(n) <= 1/m.
A256404: Positions of records in A166133.
A283347: T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.
A292741: Number A(n,k) of partitions of n with k sorts of part 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.