3741
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Number
$3741$ (three thousand, seven hundred and forty-one) is:
- $3 \times 27 \times 43$
- The $86$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $3240$, $3321$, $3403$, $3486$, $3570$, $3655$:
- $3741 = \ds \sum_{k \mathop = 1}^{86} k = \dfrac {86 \times \paren {86 + 1} } 2$
- The $2$nd of the $6$th pair of triangular numbers whose sum and difference are also both triangular:
- $2145 = T_{65}$, $3741 = T_{86}$, $3741 + 2145 = T_{108}$, $3741 - 2145 = T_{56}$