The number 6201
6201 is a composite number with 12 divisors. Its prime factorisation is × 13 × 53. Divisors (12): 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6201: a Harshad number: divisible by its digit sum 9.
- 2
6201 is composite. Its prime factorisation is
- 3
The divisors add up to 9828; without 6201 itself that is 3627, so 6201 is deficient (3627 is less than 6201). Euler's totient φ(6201) = 3744 numbers up to 6201 share no factor with it.
- 4
The digits of 6201 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6201 = 3^{2} \times 13 \times 53 \]6201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9828 |
| Euler totient φ(n) | 3744 |
| Square | 38452401 |
| Cube | 238443338601 |
| Square root | 78.746428 (= 3√689) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.201 × |
6201 in other forms
| Form | Value |
|---|---|
| In words | six thousand two hundred and one |
| Binary (base 2) | 1100000111001 |
| Octal (base 8) | 14071 |
| Hexadecimal (base 16) | 1839 |
| Base 3 | 22111200 |
| As time | 6201 seconds = 1 h 43 min 21 s |
Is 6201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6201 ÷ 3 = 2067) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6201 ÷ 9 = 689) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6201 a prime number?
No. 6201 = × 13 × 53, so it is divisible by 3.
What are the factors of 6201?
1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201.
What is 6201 in binary?
1100000111001 (hexadecimal 1839, octal 14071).
What is the square root of 6201?
About 78.7464, exactly 3√689.
Is 6201 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 6201?
6201 is a Harshad number: divisible by its digit sum 9.