Sunday, February 24, 2019

Number of the day: 7852

Properties of the number 7852:

7852 = 22 × 13 × 151 is the 6860th composite number and is not squarefree.
7852 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 3600 totatives.
7852 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 7852 results in a semiprime.
7852 = 19642 - 19622 = 1642 - 1382 is the difference of 2 nonnegative squares in 2 ways.
7852 is the sum of 2 positive triangular numbers.
7852 is the difference of 2 positive pentagonal numbers in 2 ways.
7852 = 62 + 542 + 702 is the sum of 3 positive squares.
78522 = 30202 + 72482 is the sum of 2 positive squares in 1 way.
78522 is the sum of 3 positive squares.
7852 is a proper divisor of 2693 - 1.
7852 is palindromic in (at least) the following bases: 12, 47, and -31.
7852 in base 11 = 5999 and consists of only the digits '5' and '9'.
7852 in base 12 = 4664 and consists of only the digits '4' and '6'.
7852 in base 20 = jcc and consists of only the digits 'c' and 'j'.
7852 in base 29 = 99m and consists of only the digits '9' and 'm'.
7852 in base 46 = 3WW and consists of only the digits '3' and 'W'.
7852 in base 47 = 3Q3 and consists of only the digits '3' and 'Q'.
7852 in base 62 = 22e and consists of only the digits '2' and 'e'.

The number 7852 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008404: Number of Costas arrays of order n, counting rotations and flips as distinct.
A029907: a(n+1) = a(n) + a(n-1) + Fibonacci(n).
A050710: Smallest composite that when added to sum of prime factors reaches a prime after n iterations.
A067563: Product of n-th prime number and n-th composite number.
A077014: Number of ways that a directed line (or river) that starts in the south can cross an east-west road n times.
A112861: Numbers n such that (2*n)!/(2*(n!)^2) - 1 is prime.
A165778: Numbers n such that |2^n-57| is prime.
A210599: Triangle of coefficients of polynomials v(n,x) jointly generated with A210221; see the Formula section.
A271293: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood.
A299291: Coordination sequence for "ubt" 3D uniform tiling.

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