Number of the day: 5822

Properties of the number 5822:

5822 = 2 × 41 × 71 is a sphenic number and squarefree.
5822 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 2800 totatives.
5822 has an emirp digit sum 17 in base 10.
Reversing the decimal digits of 5822 results in a semiprime.
5822 is the difference of 2 positive pentagonal numbers in 1 way.
5822 = 1² + 14² + 75² is the sum of 3 positive squares.
5822² = 1278² + 5680² is the sum of 2 positive squares in 1 way.
5822² is the sum of 3 positive squares.
5822 is a proper divisor of 857⁵ - 1.
5822 = '58' + '22' is the concatenation of 2 semiprime numbers.
5822 is palindromic in (at least) the following bases: 81, and -60.
5822 in base 3 = 21222122 and consists of only the digits '1' and '2'.
5822 in base 9 = 7878 and consists of only the digits '7' and '8'.
5822 in base 18 = hh8 and consists of only the digits '8' and 'h'.

The number 5822 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000712: Number of partitions of n into parts of 2 kinds.
A048788: a(2n+1) = a(2n) + a(2n-1), a(2n) = 2*a(2n-1) + a(2n-2).
A052530: a(0)=0, a(1)=2; for n>=2, a(n)=4*a(n-1)-a(n-2).
A082630: Start with the sequence S(0)={1,1} and for n > 0 define S(n) to be I(S(n-1)) where I denotes the operation of inserting, for i=1,2,3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i). The listed terms are the initial terms of the limit of this process.
A097097: Antidiagonal sums of triangle A097094, where self-convolution forms A097096 (row sums of triangle A097094).
A107235: Expansion of 1 / Prod{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+4)).
A152528: a(n) = p(n)*p(n+2) - 3*p(n+1), where p(n) is the n-th prime.
A208960: T(n,k)=Number of nXk 0..5 arrays with every element value z a city block distance of exactly z from another element value z
A218471: a(n) = n*(7*n-3)/2.
A221255: T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2