# 435

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## Number

$435$ (four hundred and thirty-five) is:

$3 \times 5 \times 29$

The $5$th Fermat pseudoprime to base $4$ after $15$, $85$, $91$, $341$:
$4^{435} \equiv 4 \pmod {435}$

The $15$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $120$, $153$, $190$, $231$, $276$, $325$, $378$:
$435 = \ds \sum_{k \mathop = 1}^{15} \paren {4 k - 3} = 15 \paren {2 \times 15 - 1}$

The $29$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $325$, $351$, $378$, $406$:
$435 = \ds \sum_{k \mathop = 1}^{29} k = \dfrac {29 \times \paren {29 + 1} } 2$

The $52$nd sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $385$, $399$, $402$, $406$, $410$, $418$, $426$, $429$, $430$, $434$:
$435 = 3 \times 5 \times 29$