5356

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Number

$5356$ (five thousand, three hundred and fifty-six) is:

$2^2 \times 13 \times 103$

The $52$nd hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $4005$, $4186$, $4371$, $4560$, $4950$, $5151$:

$5356 = \ds \sum_{k \mathop = 1}^{52} \paren {4 k - 3} = 52 \paren {2 \times 52 - 1}$

The $103$rd triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $4560$, $4656$, $4753$, $4851$, $4950$, $5050$, $5151$, $5253$:

$5356 = \ds \sum_{k \mathop = 1}^{103} k = \dfrac {103 \times \paren {103 + 1} } 2$

Also see

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