2752

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Number

$2752$ (two thousand, seven hundred and fifty-two) is:

$2^6 \times 43$

The $43$rd pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $1820$, $1926$, $2035$, $2147$, $2262$, $2380$, $2501$, $2625$:

$2752 = \ds \sum_{k \mathop = 1}^{43} \paren {3 k - 2} = \dfrac {43 \paren {3 \times 43 - 1} } 2$

The $85$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2380$, $2420$, $2501$, $2542$, $2625$, $2667$:

$2752 = \ds \sum_{k \mathop = 1}^{43} \paren {3 k - 2} = \dfrac {43 \paren {3 \times 43 - 1} } 2$

Also see

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