30

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Summary

Factorization

The factorization is as follows, with factors 2, 3, and 5:

$30=2^{1}\cdot 3^{1}\cdot 5^{1}=2\cdot 3\cdot 5$

Property or family	Parameter values	First few members of the family	Proof of satisfaction/membership/containment
Giuga number: composite number $n$ such that $p$ divides $(n/p)-1$ for all prime divisors $p$ of $n$.	first Giuga number	30, 858, 1722, 66198, [SHOW MORE] 2214408306, 24423128562, 432749205173838, 14737133470010574, 550843391309130318, 244197000982499715087866346, 554079914617070801288578559178, 1910667181420507984555759916338506 View list on OEIS	check on each prime divisor: 2 divides (30/2) - 1 = 14 3 divides (30/3) - 1 = 9 5 divides 30/5 - 1 = 5
primorial: product of the first few prime numbers	third primorial: product of the first three prime numbers	1, 2, 6, 30, 210, 2310 View list on OEIS	The first three primes are 2,3,5, and their product is 30.