The number 6200
6200 is a composite number with 24 divisors. Its prime factorisation is × × 31. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200 … 6200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6200: a Harshad number: divisible by its digit sum 8.
- 2
6200 is composite. Its prime factorisation is
- 3
The divisors add up to 14880; without 6200 itself that is 8680, so 6200 is abundant (8680 is more than 6200). Euler's totient φ(6200) = 2400 numbers up to 6200 share no factor with it.
- 4
The digits of 6200 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6200 = 2^{3} \times 5^{2} \times 31 \]6200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14880 |
| Euler totient φ(n) | 2400 |
| Square | 38440000 |
| Cube | 238328000000 |
| Square root | 78.740079 (= 10√62) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 155 |
| Scientific notation | 6.2 × |
6200 in other forms
| Form | Value |
|---|---|
| In words | six thousand two hundred |
| Binary (base 2) | 1100000111000 |
| Octal (base 8) | 14070 |
| Hexadecimal (base 16) | 1838 |
| Base 3 | 22111122 |
| As time | 6200 seconds = 1 h 43 min 20 s |
Is 6200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6200 ÷ 2 = 3100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6200 ÷ 4 = 1550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6200 ÷ 5 = 1240) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (6200 ÷ 8 = 775) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6200 ÷ 10 = 620) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6200 a prime number?
No. 6200 = × × 31, so it is divisible by 2.
What are the factors of 6200?
1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100, 6200.
What is 6200 in binary?
1100000111000 (hexadecimal 1838, octal 14070).
What is the square root of 6200?
About 78.7401, exactly 10√62.
Is 6200 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 6200?
6200 is a Harshad number: divisible by its digit sum 8.