Number of the day: 4286

János Bolyai was born on this day 215 years ago.

Properties of the number 4286:

4286 = 2 × 2143 is semiprime and squarefree.
4286 has 2 distinct prime factors, 4 divisors, 3 antidivisors and 2142 totatives.
4286 has an oblong digit sum 20 in base 10.
4286 = 5² + 6² + 65² is the sum of 3 positive squares.
4286² is the sum of 3 positive squares.
4286 is a proper divisor of 349³ - 1.
4286 is an emirpimes in (at least) the following bases: 9, 13, 14, 15, 27, 28, 34, 35, 36, 43, 44, 45, 52, 53, 55, 58, 59, 62, 63, 64, 69, 71, 74, 81, 84, 86, 89, 91, and 98.
4286 is palindromic in (at least) the following bases: 19, 23, 42, -51, and -63.
4286 in base 17 = ee2 and consists of only the digits '2' and 'e'.
4286 in base 19 = bgb and consists of only the digits 'b' and 'g'.
4286 in base 22 = 8ii and consists of only the digits '8' and 'i'.
4286 in base 23 = 828 and consists of only the digits '2' and '8'.
4286 in base 41 = 2MM and consists of only the digits '2' and 'M'.
4286 in base 42 = 2I2 and consists of only the digits '2' and 'I'.

The number 4286 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A070143: Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer area, having relatively prime side lengths.
A070209: Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer inradius.
A075277: Interprimes (A024675) which are of the form s*prime, s=2.
A100229: Triangle, read by rows, of the coefficients of [x^k] in G100228(x)^n such that the row sums are 4^n-1 for n>0, where G100228(x) is the g.f. of A100228.
A100230: Main diagonal of triangle A100229.
A111570: a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.
A196087: Sum of all parts minus the total numbers of parts of all partitions of n.
A248201: Numbers n such that n-1, n and n+1 are all squarefree semiprimes.
A276743: G.f.: Sum_{n>=0} [ Sum_{k>=1} k^n * x^k ]^n.
A285212: Expansion of Product_{k>=0} (1-x^(3*k+2))^(3*k+2).