Eric says "even square numbers always have more factors than odd square numbers"

Find examples to show that Eric is wrong.

One example is that 3721 (yes that is a square it's 61*61) has the same amount of factors as 4. The factors of 3721 are 3721, 61, and 1 but the factors of 4 are 4, 2, and 1. Another example is 616225 has more factors than 16 the factors of 616225 are 1, 5, 25, 157, 785, 3925, 24649, 123245, and 616225 but the factors of 16 are just 1, 2, 4, 8, and 16. My final example is that 998,001 (999*999) has more factors than 4624 because the factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, and 4624 but the factors of 998001 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 1369, 2997, 4107, 8991, 12321, 26973, 36963, 110889, 332667, and 998001.