5742

5742 is a natural number that follows 5741 and precedes 5743. In mathematics, it is an even composite number with prime factorization 2 × 3^2 × 11 × 29. It is not a prime and not a perfect square. The number has 24 positive divisors. The sum of all positive divisors is 14,040, which yields a sum of proper divisors equal to 8,298. Therefore, 5742 is an abundant number. It is also a Harshad (Niven) number in base 10, since the sum of its digits is 5 + 7 + 4 + 2 = 18 and 5742 is divisible by 18 (5742 ÷ 18 = 319).

In other common contexts, 5742 appears as a calendar year designation in the Hebrew calendar. The year 5742 corresponds to the period from autumn 1981 to autumn 1982 in the Gregorian calendar.

Summary information: 5742 is an even, composite, and abundant integer with multiple divisors and a digit-sum divisibility property. Its mathematical characteristics include a prime factorization of 2 × 3^2 × 11 × 29, a divisor count of 24, and a Harshad status in base 10. Outside pure number theory, 5742 also serves as a year label in cultural calendars such as the Hebrew calendar, where it aligns with a specific span in 1981–1982 CE.