The number 31601
31601 is the 3400th prime number. Its only divisors are 1 and 31601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31601: the 3400th prime number.
- 2
31601 is prime, so its only factors are 1 and 31601. It is the 3400th prime; the next prime is 31607 and the one before is 31583.
- 3
The divisors add up to 31602; without 31601 itself that is 1, so 31601 is deficient (1 is less than 31601). Euler's totient φ(31601) = 31600 numbers up to 31601 share no factor with it.
- 4
The digits of 31601 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 41 steps to reach 1.
31601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31602 |
| Euler totient φ(n) | 31600 |
| Square | 998623201 |
| Cube | 31557491774801 |
| Square root | 177.766701 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1601 × |
31601 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and one |
| Binary (base 2) | 111101101110001 |
| Octal (base 8) | 75561 |
| Hexadecimal (base 16) | 7B71 |
| Base 3 | 1121100102 |
| As time | 31601 seconds = 8 h 46 min 41 s |
Is 31601 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 3) | 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 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 9) | 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 31601 a prime number?
Yes. 31601 is divisible only by 1 and itself.
What are the factors of 31601?
1, 31601.
What is 31601 in binary?
111101101110001 (hexadecimal 7B71, octal 75561).
What is the square root of 31601?
About 177.7667.
Is 31601 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31601?
31601 is the 3400th prime number.