301

Number
$301$ (three hundred and one) is:


 * $7 \times 43$


 * The $14$th second pentagonal number after $2$, $7$, $15$, $26$, $40$, $57$, $77$, $100$, $126$, $155$, $187$, $222$, $260$:
 * $301 = \dfrac {14 \left({3 \times 14 + 1}\right)} 2$


 * The $28$th generalized pentagonal number after $1, 2, 5, 7, 12, 15, \ldots, 126, 145, 176, 187, 210, 222, 247, 260, 287$:
 * $301 = \dfrac {14 \left({3 \times 14 + 1}\right)} 2$


 * The $45$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$, $293$:
 * $301 \to 3^2 + 0^2 + 1^2 = 9 + 0 + 1 = 10 \to 1^2 + 0^2 = 1$