301
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Number
$301$ (three hundred and one) is:
- $7 \times 43$
- The $14$th second pentagonal number after $2$, $7$, $15$, $26$, $40$, $57$, $77$, $100$, $126$, $155$, $187$, $222$, $260$:
- $301 = \dfrac {14 \paren {3 \times 14 + 1} } 2$
- The $28$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $126$, $145$, $176$, $187$, $210$, $222$, $247$, $260$, $287$:
- $301 = \dfrac {14 \paren {3 \times 14 + 1} } 2$
- The $45$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$, $293$:
- $301 \to 3^2 + 0^2 + 1^2 = 9 + 0 + 1 = 10 \to 1^2 + 0^2 = 1$