The number 5591
5591 is the 738th prime number. Its only divisors are 1 and 5591.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5591: the 738th prime number.
- 2
5591 is prime, so its only factors are 1 and 5591. It is the 738th prime; the next prime is 5623 and the one before is 5581.
- 3
The divisors add up to 5592; without 5591 itself that is 1, so 5591 is deficient (1 is less than 5591). Euler's totient φ(5591) = 5590 numbers up to 5591 share no factor with it.
- 4
The digits of 5591 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
5591 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5592 |
| Euler totient φ(n) | 5590 |
| Square | 31259281 |
| Cube | 174770640071 |
| Square root | 74.772990 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.591 × |
5591 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and ninety-one |
| Binary (base 2) | 1010111010111 |
| Octal (base 8) | 12727 |
| Hexadecimal (base 16) | 15D7 |
| Base 3 | 21200002 |
| As time | 5591 seconds = 1 h 33 min 11 s |
Is 5591 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 1) | 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 5) | 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 2) | 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 3) | 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 5591 a prime number?
Yes. 5591 is divisible only by 1 and itself.
What are the factors of 5591?
1, 5591.
What is 5591 in binary?
1010111010111 (hexadecimal 15D7, octal 12727).
What is the square root of 5591?
About 74.7730.
Is 5591 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5591?
5591 is the 738th prime number.