The number 19427
19427 is a twin prime (19427 and 19429 are both prime) and the 2201st prime number. Its only divisors are 1 and 19427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19427: a twin prime (19427 and 19429 are both prime); the 2201st prime number.
- 2
19427 is prime, so its only factors are 1 and 19427. It is the 2201st prime; the next prime is 19429 and the one before is 19423.
- 3
The divisors add up to 19428; without 19427 itself that is 1, so 19427 is deficient (1 is less than 19427). Euler's totient φ(19427) = 19426 numbers up to 19427 share no factor with it.
- 4
The digits of 19427 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
19427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 19428 |
| Euler totient φ(n) | 19426 |
| Square | 377408329 |
| Cube | 7331911607483 |
| Square root | 139.380773 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.9427 × |
19427 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand four hundred and twenty-seven |
| Binary (base 2) | 100101111100011 |
| Octal (base 8) | 45743 |
| Hexadecimal (base 16) | 4BE3 |
| Base 3 | 222122112 |
| As time | 19427 seconds = 5 h 23 min 47 s |
Is 19427 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 2) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 19427 a prime number?
Yes. 19427 is divisible only by 1 and itself.
What are the factors of 19427?
1, 19427.
What is 19427 in binary?
100101111100011 (hexadecimal 4BE3, octal 45743).
What is the square root of 19427?
About 139.3808.
Is 19427 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 19427?
19427 is a twin prime (19427 and 19429 are both prime); the 2201st prime number.