The number 3491
3491 is the 488th prime number. Its only divisors are 1 and 3491.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3491: the 488th prime number.
- 2
3491 is prime, so its only factors are 1 and 3491. It is the 488th prime; the next prime is 3499 and the one before is 3469.
- 3
The divisors add up to 3492; without 3491 itself that is 1, so 3491 is deficient (1 is less than 3491). Euler's totient φ(3491) = 3490 numbers up to 3491 share no factor with it.
- 4
The digits of 3491 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
3491 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3492 |
| Euler totient φ(n) | 3490 |
| Square | 12187081 |
| Cube | 42545099771 |
| Square root | 59.084685 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.491 × |
3491 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-one |
| Roman numerals | MMMCDXCI |
| Binary (base 2) | 110110100011 |
| Octal (base 8) | 6643 |
| Hexadecimal (base 16) | DA3 |
| Base 3 | 11210022 |
| As time | 3491 seconds = 58 min 11 s |
Is 3491 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 3) | 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 3) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3491 a prime number?
Yes. 3491 is divisible only by 1 and itself.
What are the factors of 3491?
1, 3491.
What is 3491 in binary?
110110100011 (hexadecimal DA3, octal 6643).
What is the square root of 3491?
About 59.0847.
What is 3491 in Roman numerals?
MMMCDXCI.
Is 3491 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3491?
3491 is the 488th prime number.