The number 35521
35521 is the 3781st prime number. Its only divisors are 1 and 35521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35521: the 3781st prime number.
- 2
35521 is prime, so its only factors are 1 and 35521. It is the 3781st prime; the next prime is 35527 and the one before is 35509.
- 3
The divisors add up to 35522; without 35521 itself that is 1, so 35521 is deficient (1 is less than 35521). Euler's totient φ(35521) = 35520 numbers up to 35521 share no factor with it.
- 4
The digits of 35521 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
35521 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35522 |
| Euler totient φ(n) | 35520 |
| Square | 1261741441 |
| Cube | 44818317725761 |
| Square root | 188.470157 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.5521 × |
35521 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and twenty-one |
| Binary (base 2) | 1000101011000001 |
| Octal (base 8) | 105301 |
| Hexadecimal (base 16) | 8AC1 |
| Base 3 | 1210201121 |
| As time | 35521 seconds = 9 h 52 min 1 s |
Is 35521 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 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 1) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35521 a prime number?
Yes. 35521 is divisible only by 1 and itself.
What are the factors of 35521?
1, 35521.
What is 35521 in binary?
1000101011000001 (hexadecimal 8AC1, octal 105301).
What is the square root of 35521?
About 188.4702.
Is 35521 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35521?
35521 is the 3781st prime number.