54

Number
$54$ (fifty-four) is:


 * $2 \times 3^3$


 * The $2$nd integer solution to $\map {\sigma_1} n = \map {\sigma_1} {n + 2}$ after $33$:
 * $\map {\sigma_1} {54} = 120 = \map {\sigma_1} {56}$


 * The $10$th positive integer $n$ after $5$, $11$, $17$, $23$, $29$, $30$, $36$, $42$, $48$ such that no factorial of an integer can end with $n$ zeroes.


 * The $12$th semiperfect number after $6$, $12$, $18$, $20$, $24$, $28$, $30$, $36$, $40$, $42$, $48$:
 * $54 = 9 + 18 + 27$


 * The $32$nd positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $33$, $37$, $38$, $42$, $43$, $44$, $45$, $46$, $49$, $50$ which cannot be expressed as the sum of distinct pentagonal numbers.


 * The $35$th (strictly) positive integer after $1$, $2$, $3$, $\ldots$, $37$, $38$, $42$, $43$, $44$, $48$, $49$, $50$ which cannot be expressed as the sum of distinct primes of the form $6 n - 1$