5010

5010 is a natural number that follows 5009 and precedes 5011. It is an even, composite integer with a prime factorization of 2 × 3 × 5 × 167. Consequently, it has six positive divisors: 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 834, 2510, and 5010, making it a highly composite within its range.

In terms of arithmetic properties, 5010 is divisible by 2, 3, 5, 6, 10, 15, 30, 167, 334, and 501, reflecting its multiple prime factors. It is not a prime number and also not a perfect square or cube. The sum of its digits equals 6, which is divisible by 3, confirming its divisibility by 3. Its digital root is 6.

In recreational mathematics, 5010 appears in sequences such as the sequence of numbers that can be expressed as the sum of two squares (5010 = 21² + 25²) and in the OEIS as A002805, the lazy caterer's sequence's compliment for a specific term. The number also appears in some Apollonian circle packings related to Descartes' theorem.

5010 has not been associated with any widely recognized cultural or historical events specific to the number itself. In applications, it may be referenced as an identifier in cataloguing systems, part numbers, or in the designation of facilities or equipment within certain industrial or scientific contexts.