The number 5519
5519 is a twin prime (5519 and 5521 are both prime) and the 729th prime number. Its only divisors are 1 and 5519.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5519: a twin prime (5519 and 5521 are both prime); the 729th prime number.
- 2
5519 is prime, so its only factors are 1 and 5519. It is the 729th prime; the next prime is 5521 and the one before is 5507.
- 3
The divisors add up to 5520; without 5519 itself that is 1, so 5519 is deficient (1 is less than 5519). Euler's totient φ(5519) = 5518 numbers up to 5519 share no factor with it.
- 4
The digits of 5519 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 160 steps to reach 1.
5519 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5520 |
| Euler totient φ(n) | 5518 |
| Square | 30459361 |
| Cube | 168105213359 |
| Square root | 74.289972 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.519 × |
5519 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and nineteen |
| Binary (base 2) | 1010110001111 |
| Octal (base 8) | 12617 |
| Hexadecimal (base 16) | 158F |
| Base 3 | 21120102 |
| As time | 5519 seconds = 1 h 31 min 59 s |
Is 5519 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 4) | 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5519 a prime number?
Yes. 5519 is divisible only by 1 and itself.
What are the factors of 5519?
1, 5519.
What is 5519 in binary?
1010110001111 (hexadecimal 158F, octal 12617).
What is the square root of 5519?
About 74.2900.
Is 5519 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5519?
5519 is a twin prime (5519 and 5521 are both prime); the 729th prime number.