The number 13591
13591 is the 1607th prime number. Its only divisors are 1 and 13591.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13591: the 1607th prime number.
- 2
13591 is prime, so its only factors are 1 and 13591. It is the 1607th prime; the next prime is 13597 and the one before is 13577.
- 3
The divisors add up to 13592; without 13591 itself that is 1, so 13591 is deficient (1 is less than 13591). Euler's totient φ(13591) = 13590 numbers up to 13591 share no factor with it.
- 4
The digits of 13591 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 37 steps to reach 1.
13591 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13592 |
| Euler totient φ(n) | 13590 |
| Square | 184715281 |
| Cube | 2510465384071 |
| Square root | 116.580444 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3591 × |
13591 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and ninety-one |
| Binary (base 2) | 11010100010111 |
| Octal (base 8) | 32427 |
| Hexadecimal (base 16) | 3517 |
| Base 3 | 200122101 |
| As time | 13591 seconds = 3 h 46 min 31 s |
Is 13591 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 6) | 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 13591 a prime number?
Yes. 13591 is divisible only by 1 and itself.
What are the factors of 13591?
1, 13591.
What is 13591 in binary?
11010100010111 (hexadecimal 3517, octal 32427).
What is the square root of 13591?
About 116.5804.
Is 13591 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13591?
13591 is the 1607th prime number.