2401

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Number

$2401$ (two thousand four hundred and one) is:

$7^4$

The $1$st $4$th power that can be expressed as the sum of $2$ $4$th powers minus a $3$rd with all numbers less than $10^4$:

$2401 = 7^4 = 227^4 + 157^4 - 239^4$

The $4$th power of $7$ after $(1)$, $7$, $49$, $343$:

$2401 = 7^4$

The $7$th fourth power after $1$, $16$, $81$, $256$, $625$, $1296$:

$2401 = 7 \times 7 \times 7 \times 7$

The $49$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$, $1764$, $1849$, $1936$, $2025$, $2116$, $2209$, $2304$:

$2401 = 49 \times 49$

Also see

• Smallest Fourth Power as Sum and Difference of Fourth Powers

• Previous  ... Next: Sequence of Powers of 7
• Previous  ... Next: Fourth Power
• Previous  ... Next: Square Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2401$