The number 600
600 is a composite number with 24 divisors. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 600: a Harshad number: divisible by its digit sum 6.
- 2
600 is composite. Its prime factorisation is
- 3
The divisors add up to 1860; without 600 itself that is 1260, so 600 is abundant (1260 is more than 600). Euler's totient φ(600) = 160 numbers up to 600 share no factor with it.
- 4
The digits of 600 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 600 = 2^{3} \times 3 \times 5^{2} \]600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 1860 |
| Euler totient φ(n) | 160 |
| Square | 360000 |
| Cube | 216000000 |
| Square root | 24.494897 (= 10√6) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 17 |
| Scientific notation | 6 × |
600 in other forms
| Form | Value |
|---|---|
| In words | six hundred |
| Roman numerals | DC |
| Binary (base 2) | 1001011000 |
| Octal (base 8) | 1130 |
| Hexadecimal (base 16) | 258 |
| Base 3 | 211020 |
| As time | 600 seconds = 10 min 0 s |
Is 600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (600 ÷ 2 = 300) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (600 ÷ 3 = 200) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (600 ÷ 4 = 150) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (600 ÷ 5 = 120) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (600 ÷ 6 = 100) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (600 ÷ 8 = 75) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (600 ÷ 10 = 60) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (600 ÷ 12 = 50) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 600 a prime number?
No. 600 = × 3 × , so it is divisible by 2.
What are the factors of 600?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600.
What is 600 in binary?
1001011000 (hexadecimal 258, octal 1130).
What is the square root of 600?
About 24.4949, exactly 10√6.
What is 600 in Roman numerals?
DC.
Is 600 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 600?
600 is a Harshad number: divisible by its digit sum 6.