276

Number
$276$ (two hundred and seventy-six) is:


 * $2^2 \times 3 \times 23$


 * The smallest positive integer which begins an aliquot sequence whose final status is unknown.


 * The $12$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $120$, $153$, $190$, $231$:
 * $276 = \displaystyle \sum_{k \mathop = 1}^{12} \paren {4 k - 3} = 12 \left({2 \times 12 - 1}\right)$


 * The $14$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$, $195$, $216$, $261$, $266$, $272$:
 * $\nexists n \in \Z_{>0}: n = 276 \times \map {s_{10} } n$


 * The $19$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$, $248$, $262$, $268$


 * The $23$rd triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $136$, $153$, $171$, $190$, $210$, $231$, $253$:
 * $276 = \displaystyle \sum_{k \mathop = 1}^{23} k = \dfrac {23 \times \paren {23 + 1} } 2$

Also see

 * Aliquot Sequence starting from $276$