4095 = 12 + 345 + 6 × 7 × 89
4095 = 9 + 8 + 7 + 6 × 54 + 321
4095 = 0^7 + 1^9 − 2^8 + 3^6 + 4^5 + 5^3 + 6^1 + 7^4 + 8^2 + 9^0
4095 = 333333_4 in base 4.
4095 = binomial(90 + 1, 2) is the 90th triangular number.
4095 cannot be written as a sum of 3 squares. (Integers that are not a sum of three squares)
Second hexagonal number: a(n) = n*(2*n + 1), n = 45
Factors: 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
Representations, Binary to Hexadecimal:
111111111111_2
12121200_3
333333_4
112340_5
30543_6
14640_7
7777_8
5550_9
3093_11
2453_12
1b30_13
16c7_14
1330_15
fff_16
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Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
