The number 3511
3511 is the 490th prime number. Its only divisors are 1 and 3511.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3511: the 490th prime number.
- 2
3511 is prime, so its only factors are 1 and 3511. It is the 490th prime; the next prime is 3517 and the one before is 3499.
- 3
The divisors add up to 3512; without 3511 itself that is 1, so 3511 is deficient (1 is less than 3511). Euler's totient φ(3511) = 3510 numbers up to 3511 share no factor with it.
- 4
The digits of 3511 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3511 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3512 |
| Euler totient φ(n) | 3510 |
| Square | 12327121 |
| Cube | 43280521831 |
| Square root | 59.253692 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.511 × |
3511 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and eleven |
| Roman numerals | MMMDXI |
| Binary (base 2) | 110110110111 |
| Octal (base 8) | 6667 |
| Hexadecimal (base 16) | DB7 |
| Base 3 | 11211001 |
| As time | 3511 seconds = 58 min 31 s |
Is 3511 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3511 a prime number?
Yes. 3511 is divisible only by 1 and itself.
What are the factors of 3511?
1, 3511.
What is 3511 in binary?
110110110111 (hexadecimal DB7, octal 6667).
What is the square root of 3511?
About 59.2537.
What is 3511 in Roman numerals?
MMMDXI.
Is 3511 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3511?
3511 is the 490th prime number.