6,355,441

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Number

$6 \, 355 \, 441$ (six million, three hundred and fifty-five thousand, four hundred and forty-one) is:

$2521^2$

The $4$th centered hexagonal number after $1, 169, 32 \, 761$ which is also square:

$6 \, 355 \, 441 = 1456^3 - 1455^3 = 2521^2$

The $1456$th centered hexagonal number:

$6 \, 355 \, 441 = 3 \times 1456 \times \paren {1456 - 1} + 1 = 1456^3 - 1455^3$

The $2521$st square number:

$6 \, 355 \, 441 = 2521 \times 2521$

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): $169$