The number 3701
3701 is the 517th prime number. Its only divisors are 1 and 3701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3701: the 517th prime number.
- 2
3701 is prime, so its only factors are 1 and 3701. It is the 517th prime; the next prime is 3709 and the one before is 3697.
- 3
The divisors add up to 3702; without 3701 itself that is 1, so 3701 is deficient (1 is less than 3701). Euler's totient φ(3701) = 3700 numbers up to 3701 share no factor with it.
- 4
The digits of 3701 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
3701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3702 |
| Euler totient φ(n) | 3700 |
| Square | 13697401 |
| Cube | 50694081101 |
| Square root | 60.835845 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.701 × |
3701 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and one |
| Roman numerals | MMMDCCI |
| Binary (base 2) | 111001110101 |
| Octal (base 8) | 7165 |
| Hexadecimal (base 16) | E75 |
| Base 3 | 12002002 |
| As time | 3701 seconds = 1 h 1 min 41 s |
Is 3701 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 2) | 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 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3701 a prime number?
Yes. 3701 is divisible only by 1 and itself.
What are the factors of 3701?
1, 3701.
What is 3701 in binary?
111001110101 (hexadecimal E75, octal 7165).
What is the square root of 3701?
About 60.8358.
What is 3701 in Roman numerals?
MMMDCCI.
Is 3701 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3701?
3701 is the 517th prime number.