3600

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Number

$3600$ (three thousand, six hundred) is:

$2^4 \times 3^2 \times 5^2$

The $22$nd square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $1936$, $2304$, $2704$, $2916$, $3136$ to be the divisor sum value of some (strictly) positive integer:

$3600 = \map {\sigma_1} {1080}$

The $49$th positive integer which cannot be expressed as the sum of a square and a prime:

$1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $2209$, $2304$, $2500$, $2809$, $2986$, $3136$, $3364$, $3481$, $3600$, $\ldots$

The $60$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $2304$, $2401$, $2500$, $2601$, $2704$, $2809$, $2916$, $3025$, $3136$, $3249$, $3364$, $3481$:

$3600 = 60 \times 60$

Arithmetic Functions on $3600$

\(\ds \map {\sigma_0} { 3600 }\)

\(=\)

\(\ds 45\)

$\sigma_0$ of $3600$

Also see

• Previous  ... Next: Square Numbers which are Divisor Sum values
• Previous  ... Next: Square Number
• Previous: Numbers not Sum of Square and Prime

No further terms of this sequence are documented on $\mathsf{Pr} \infty \mathsf{fWiki}$.

Historical Note

There are $3600$ seconds of time in an hour.

There are $3600$ seconds of angle in an degree.

There are $3600$ minutes of angle in a $60$ degree angle.

These divisions date back to the time of the Babylonians, who used a $60$-based number system for their mathematics and astronomy.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3600$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3600$