## János Bolyai was born on this day 214 years ago.

### Properties of the number 2396:

2396 = 2^{2}× 599 is the 2039

^{th}composite number and is not squarefree.

2396 has 2 distinct prime factors, 6 divisors, 3 antidivisors and 1196 totatives.

2396 has an oblong digit sum 20 in base 10.

2396 = 600

^{2}- 598

^{2}is the difference of 2 nonnegative squares in 1 way.

2396 is the difference of 2 positive pentagonal numbers in 1 way.

2396 is not the sum of 3 positive squares.

2396

^{2}is the sum of 3 positive squares.

2396 is a divisor of 421

^{13}- 1.

2396 is palindromic in (at least) the following bases: 23, -15, -26, -38, and -42.

2396 in base 7 = 6662 and consists of only the digits '2' and '6'.

2396 in base 18 = 772 and consists of only the digits '2' and '7'.

2396 in base 22 = 4kk and consists of only the digits '4' and 'k'.

2396 in base 23 = 4c4 and consists of only the digits '4' and 'c'.

2396 in base 34 = 22g and consists of only the digits '2' and 'g'.

2396 in base 48 = 11i and consists of only the digits '1' and 'i'.

### The number 2396 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A006999: Partitioning integers to avoid arithmetic progressions of length 3.

A028875: n^2 - 5.

A054126: Odd-index Fibonacci row-sum array: T(n,k)=U(2n+1,n+1+k), 0<=k<=n, n >= 0, U the array in A054125.

A113789: Numbers n such that n, n+1 and n+2 are products of exactly 3 primes.

A143995: Years in which there are five Thursdays in the month of February, in the Gregorian calendar.

A144798: Integers having ideal digital mean to base 3.

A209973: Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant 2.

A229644: Cogrowth function of the group Baumslag-Solitar(2,2).

A256089: Non-palindromic balanced numbers in base 9.

A265057: Coordination sequence for (2,3,7) tiling of hyperbolic plane.

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