Number of the day: 8442

Felix Klein was born on this day 169 years ago.

Andrey Kolmogorov was born on this day 115 years ago.

Properties of the number 8442:

8442 = 2 × 3² × 7 × 67 is the 7386^th composite number and is not squarefree.
8442 has 4 distinct prime factors, 24 divisors, 17 antidivisors and 2376 totatives.
8442 is the sum of 2 positive triangular numbers.
8442 = 11² + 20² + 89² is the sum of 3 positive squares.
8442² is the sum of 3 positive squares.
8442 is a proper divisor of 937² - 1.
8442 is palindromic in (at least) the following bases: 5, 37, -35, and -38.
8442 in base 5 = 232232 and consists of only the digits '2' and '3'.
8442 in base 20 = 1122 and consists of only the digits '1' and '2'.
8442 in base 26 = cci and consists of only the digits 'c' and 'i'.
8442 in base 34 = 7aa and consists of only the digits '7' and 'a'.
8442 in base 36 = 6ii and consists of only the digits '6' and 'i'.
8442 in base 37 = 666 and consists of only the digit '6'.

The number 8442 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001402: Number of partitions of n into at most 6 parts.
A022271: a(n) = n*(13*n + 1)/2.
A061428: Geometric mean of the digits = 4. In other words the product of the digits is = 4^k where k is the number of digits.
A129526: Number of n-bead two-color bracelets with 00 prohibited.
A135192: Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7.
A143860: Ulam's spiral (NNW spoke).
A161407: Number of partitions of n^2 into parts smaller than n.
A172179: (1,[99n+1]) Pascal Triangle.
A235497: 2n concatenated with n.
A299287: Coordination sequence for "tcd" 3D uniform tiling.