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 $3600$ |
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Also see
- Previous ... Next: Square Numbers which are Divisor Sum values
- Previous ... Next: Square Number
- Previous: Numbers not Sum of Square and Prime
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): $3600$