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

• Next: Smallest Sequence of 5 Consecutive Numbers which are Happy

Sources

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