8001
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Number
$8001$ (eight thousand and one) is:
- $3^2 \times 7 \times 127$
- The $5$th triangular number after $28$, $91$, $351$, $2926$ which is the sum of $2$ cubes:
- $8001 = 1 + 8000 = 1^3 + 20^3$
- The $126$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $6786$, $6903$, $7021$, $7140$, $7260$, $7381$, $7503$, $7626$, $7750$, $7875$:
- $8001 = \ds \sum_{k \mathop = 1}^{126} k = \dfrac {126 \times \paren {126 + 1} } 2$