The number 13537
13537 is the 1603rd prime number. Its only divisors are 1 and 13537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13537: the 1603rd prime number.
- 2
13537 is prime, so its only factors are 1 and 13537. It is the 1603rd prime; the next prime is 13553 and the one before is 13523.
- 3
The divisors add up to 13538; without 13537 itself that is 1, so 13537 is deficient (1 is less than 13537). Euler's totient φ(13537) = 13536 numbers up to 13537 share no factor with it.
- 4
The digits of 13537 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
13537 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13538 |
| Euler totient φ(n) | 13536 |
| Square | 183250369 |
| Cube | 2480660245153 |
| Square root | 116.348614 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3537 × |
13537 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-seven |
| Binary (base 2) | 11010011100001 |
| Octal (base 8) | 32341 |
| Hexadecimal (base 16) | 34E1 |
| Base 3 | 200120101 |
| As time | 13537 seconds = 3 h 45 min 37 s |
Is 13537 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 2) | 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 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 1) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13537 a prime number?
Yes. 13537 is divisible only by 1 and itself.
What are the factors of 13537?
1, 13537.
What is 13537 in binary?
11010011100001 (hexadecimal 34E1, octal 32341).
What is the square root of 13537?
About 116.3486.
Is 13537 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13537?
13537 is the 1603rd prime number.