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): $169$