Perfect Digit-to-Digit Invariant/Examples/3435/Mistake

Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary

$3435$

Mistake

$3435 = 3^3 + 4^4 + 3^3 + 5^5$. This is the only known number with this property, apart from $1^1 = 1$.

Correction

Later on in the same book, in Section $438,579,088$, we see:

$438,579,088$

Equal to $4^4 + 3^3 + 8^8 + 5^5 + 7^7 + 9^9 + 0^0 + 8^8 + 8^8$.

The only other number with this property is $3435$.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3435$