The number 13219
13219 is a twin prime (13217 and 13219 are both prime) and the 1572nd prime number. Its only divisors are 1 and 13219.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13219: a twin prime (13217 and 13219 are both prime); the 1572nd prime number.
- 2
13219 is prime, so its only factors are 1 and 13219. It is the 1572nd prime; the next prime is 13229 and the one before is 13217.
- 3
The divisors add up to 13220; without 13219 itself that is 1, so 13219 is deficient (1 is less than 13219). Euler's totient φ(13219) = 13218 numbers up to 13219 share no factor with it.
- 4
The digits of 13219 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 138 steps to reach 1.
13219 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13220 |
| Euler totient φ(n) | 13218 |
| Square | 174741961 |
| Cube | 2309913982459 |
| Square root | 114.973910 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3219 × |
13219 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and nineteen |
| Binary (base 2) | 11001110100011 |
| Octal (base 8) | 31643 |
| Hexadecimal (base 16) | 33A3 |
| Base 3 | 200010121 |
| As time | 13219 seconds = 3 h 40 min 19 s |
Is 13219 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 4) | 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 3) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13219 a prime number?
Yes. 13219 is divisible only by 1 and itself.
What are the factors of 13219?
1, 13219.
What is 13219 in binary?
11001110100011 (hexadecimal 33A3, octal 31643).
What is the square root of 13219?
About 114.9739.
Is 13219 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13219?
13219 is a twin prime (13217 and 13219 are both prime); the 1572nd prime number.