32,761

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Number

$32 \, 761$ (thirty-two thousand, seven hundred and sixty-one) is:

$181^2$

The $3$rd centered hexagonal number after $1, 169$ which is also square:

$32 \, 761 = 105^3 - 104^3 = 181^2$

The $105$th centered hexagonal number:

$32 \, 761 = 3 \times 105 \times \paren {105 - 1} + 1 = 105^3 - 104^3$

The $181$st square number:

$32 \, 761 = 181 \times 181$

Also see

• Previous  ... Next: Sequence of Square Centered Hexagonal Numbers
• Previous  ... Next: Centered Hexagonal Number
• Previous  ... Next: Square Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $169$