The number 3527
3527 is a twin prime (3527 and 3529 are both prime) and the 492nd prime number. Its only divisors are 1 and 3527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3527: a twin prime (3527 and 3529 are both prime); the 492nd prime number.
- 2
3527 is prime, so its only factors are 1 and 3527. It is the 492nd prime; the next prime is 3529 and the one before is 3517.
- 3
The divisors add up to 3528; without 3527 itself that is 1, so 3527 is deficient (1 is less than 3527). Euler's totient φ(3527) = 3526 numbers up to 3527 share no factor with it.
- 4
The digits of 3527 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 56 steps to reach 1.
3527 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3528 |
| Euler totient φ(n) | 3526 |
| Square | 12439729 |
| Cube | 43874924183 |
| Square root | 59.388551 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.527 × |
3527 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-seven |
| Roman numerals | MMMDXXVII |
| Binary (base 2) | 110111000111 |
| Octal (base 8) | 6707 |
| Hexadecimal (base 16) | DC7 |
| Base 3 | 11211122 |
| As time | 3527 seconds = 58 min 47 s |
Is 3527 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 2) | 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 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3527 a prime number?
Yes. 3527 is divisible only by 1 and itself.
What are the factors of 3527?
1, 3527.
What is 3527 in binary?
110111000111 (hexadecimal DC7, octal 6707).
What is the square root of 3527?
About 59.3886.
What is 3527 in Roman numerals?
MMMDXXVII.
Is 3527 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3527?
3527 is a twin prime (3527 and 3529 are both prime); the 492nd prime number.