46

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Number

$46$ (forty-six) is:

$2 \times 23$


The $3$rd of the $1$st ordered quadruple of consecutive integers that have divisor sums which are strictly decreasing:
$\map {\sigma_1} {44} = 84$, $\map {\sigma_1} {45} = 78$, $\map {\sigma_1} {46} = 72$, $\map {\sigma_1} {47} = 48$


The smallest positive integer which can be expressed as the sum of $2$ distinct lucky numbers in $5$ different ways:
$46 = 3 + 43 = 9 + 37 = 13 + 33 = 15 + 31 = 21 + 25$


The $16$th semiprime after $4$, $6$, $9$, $10$, $14$, $15$, $21$, $22$, $25$, $26$, $33$, $34$, $35$, $38$, $39$:
$46 = 2 \times 23$


The $29$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $33$, $37$, $38$, $42$, $43$, $44$, $45$ which cannot be expressed as the sum of distinct pentagonal numbers.


Also see


Historical Note

Consider the $46$th psalm, as rendered in the King James (Authorized) Version of the Christian Bible.

The $46$th word of this psalm is shake.

The $46$th word from the end, counting backwards, is spear.

When the King James version was completed in $1610$, William Shakespeare was $46$ years old.

Note also that $1610 = 35 \times 46$.