44,488

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Number

$44 \, 488$ (forty-four thousand, four hundred and eighty-eight) is:

$2^3 \times 67 \times 83$


The $1$st term of the smallest sequence of $5$ consecutive integers which are all happy numbers:
\(\ds 44 \, 488\) \(\to\) \(\, \ds 4^2 + 4^2 + 4^2 + 8^2 + 8^2 \, \) \(\, \ds = \, \) \(\ds 176\)
\(\ds \) \(\to\) \(\, \ds 1^2 + 7^2 + 6^2 \, \) \(\, \ds = \, \) \(\ds 86\)
\(\ds \) \(\to\) \(\, \ds 8^2 + 6^2 \, \) \(\, \ds = \, \) \(\ds 100\)
\(\ds \) \(\to\) \(\, \ds 1^2 + 0^2 + 0^2 \, \) \(\, \ds = \, \) \(\ds 1\)


Also see


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $44,488$