The number 59219
59219 is a twin prime (59219 and 59221 are both prime) and the 5988th prime number. Its only divisors are 1 and 59219.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59219: a twin prime (59219 and 59221 are both prime); the 5988th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59219 is prime, so its only factors are 1 and 59219. It is the 5988th prime; the next prime is 59221 and the one before is 59209.
- 3
The divisors add up to 59220; without 59219 itself that is 1, so 59219 is deficient (1 is less than 59219). Euler's totient φ(59219) = 59218 numbers up to 59219 share no factor with it.
- 4
The digits of 59219 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
59219 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59220 |
| Euler totient φ(n) | 59218 |
| Square | 3506889961 |
| Cube | 207674516600459 |
| Square root | 243.349543 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 210 |
| Scientific notation | 5.9219 × |
59219 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and nineteen |
| Binary (base 2) | 1110011101010011 |
| Octal (base 8) | 163523 |
| Hexadecimal (base 16) | E753 |
| Base 3 | 10000020022 |
| As time | 59219 seconds = 16 h 26 min 59 s |
Is 59219 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 59219 a prime number?
Yes. 59219 is divisible only by 1 and itself.
What are the factors of 59219?
1, 59219.
What is 59219 in binary?
1110011101010011 (hexadecimal E753, octal 163523).
What is the square root of 59219?
About 243.3495.
Is 59219 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59219?
59219 is a twin prime (59219 and 59221 are both prime); the 5988th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.