Number of the day: 4803

Properties of the number 4803:

4803 is a cyclic number.
4803 = 3 × 1601 is semiprime and squarefree.
4803 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 3200 totatives.
4803 has an emirpimes digit sum 15 in base 10.
4803 has a triangular digit sum 15 in base 10.
4803 = 2402² - 2401² = 802² - 799² is the difference of 2 nonnegative squares in 2 ways.
4803 is the sum of 2 positive triangular numbers.
4803 is the difference of 2 positive pentagonal numbers in 1 way.
4803 = 5² + 17² + 67² is the sum of 3 positive squares.
4803² = 240² + 4797² is the sum of 2 positive squares in 1 way.
4803² is the sum of 3 positive squares.
4803 is a proper divisor of 163⁵ - 1.
4803 = '4' + '803' is the concatenation of 2 semiprime numbers.
4803 is an emirpimes in (at least) the following bases: 2, 15, 17, 21, 22, 23, 25, 30, 31, 33, 36, 37, 39, 56, 60, 63, 69, 73, 75, 76, 83, 84, 85, 86, 93, and 99.
4803 is palindromic in (at least) the following bases: 40, -18, -40, -48, and -98.
4803 in base 18 = eef and consists of only the digits 'e' and 'f'.
4803 in base 24 = 883 and consists of only the digits '3' and '8'.
4803 in base 39 = 366 and consists of only the digits '3' and '6'.
4803 in base 40 = 303 and consists of only the digits '0' and '3'.

The number 4803 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A050797: Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in exactly one way.
A095066: Number of fib001 primes (A095086) in range ]2^n,2^(n+1)].
A105632: Triangle, read by rows, where the g.f. A(x,y) satisfies the equation: A(x,y) = 1/(1-x*y) + x*A(x,y) + x^2*A(x,y)^2.
A120041: Number of 10-almost primes k such that 2^n < k <= 2^(n+1).
A160422: Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton whose virtual skeleton is a polyedge as the toothpick structure of A139250 but with toothpicks of length 6.
A182714: Number of 4's in the last section of the set of partitions of n.
A188536: Potential magic constants of 7 X 7 magic squares composed of consecutive primes.
A206920: Sum of the first n binary palindromes; a(n) = sum(k=1..n, A006995(k)).
A260052: Composites whose prime factorization in base 8 is an anagram of the number in base 8.
A261780: Number A(n,k) of compositions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order; square array A(n,k), n>=0, k>=0, read by antidiagonals.