The number 39601
39601 is a perfect square (199²). Its prime factorisation is . Divisors (3): 1, 199, 39601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39601: a perfect square (199²); the square of a prime (199²).
- 2
39601 is composite. Its prime factorisation is
- 3
The divisors add up to 39801; without 39601 itself that is 200, so 39601 is deficient (200 is less than 39601). Euler's totient φ(39601) = 39402 numbers up to 39601 share no factor with it.
- 4
The digits of 39601 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39601 = 199^{2} \]39601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 39801 |
| Euler totient φ(n) | 39402 |
| Square | 1568239201 |
| Cube | 62103840598801 |
| Square root | 199 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9601 × |
| Perfect power |
39601 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand six hundred and one |
| Binary (base 2) | 1001101010110001 |
| Octal (base 8) | 115261 |
| Hexadecimal (base 16) | 9AB1 |
| Base 3 | 2000022201 |
| As time | 39601 seconds = 11 h 0 min 1 s |
Is 39601 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39601 a prime number?
No. 39601 = , so it is divisible by 199.
What are the factors of 39601?
1, 199, 39601.
What is 39601 in binary?
1001101010110001 (hexadecimal 9AB1, octal 115261).
What is the square root of 39601?
199, because 199 × 199 = 39601.
Is 39601 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 39601?
39601 is a perfect square (199²); the square of a prime (199²).