341

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Summary

Factorization

The factorization is as follows, with factors 11 and 31:

$341=11*31$

Properties and families

Property or family	Parameter values	First few members of the family	Proof of satisfaction/membership/containment
Poulet number (also called Sarrus number), i.e., Fermat pseudoprime to base 2	smallest Poulet number	341, 561, 645, 1105, 1387, 1729, 1905, 2047, [SHOW MORE] 2465, 2701, 2821, 3277, 4033, 4369, 4371, 4681, 5461, 6601, 7957, 8321, 8481, 8911, 10261, 10585, 11305, 12801, 13741, 13747, 13981, 14491, 15709, 15841, 16705, 18705, 18721, 19951, 23001, 23377, 25761, 29341 View list on OEIS	$2^{10}=1024\equiv 1(\mathrm{mod}341)$, so $2^{340}\equiv 1(\mathrm{mod}341)$.

Arithmetic functions

Function	Value	Explanation
Euler totient function	300	The Euler totient function is $(11-1)(31-1)=(10)(30)=300$.
universal exponent	30	The universal exponent is $\mathrm{l}\mathrm{c}\mathrm{m}\{10,30\}=30$.
divisor count function	4	$(1+1)(1+1)$ where the first 1s in both factors are the multiplicities of the prime divisors.
divisor sum function	384	$(11^2-1)/(11-1)$ times $(31^2-1)/(31-1)$ equals $(12)(32)=384$.
Mobius function	1	The number is square-free and has an even number of prime divisors (2 prime divisors).