The number 15427
15427 is the 1802nd prime number. Its only divisors are 1 and 15427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15427: the 1802nd prime number.
- 2
15427 is prime, so its only factors are 1 and 15427. It is the 1802nd prime; the next prime is 15439 and the one before is 15413.
- 3
The divisors add up to 15428; without 15427 itself that is 1, so 15427 is deficient (1 is less than 15427). Euler's totient φ(15427) = 15426 numbers up to 15427 share no factor with it.
- 4
The digits of 15427 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
15427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15428 |
| Euler totient φ(n) | 15426 |
| Square | 237992329 |
| Cube | 3671507659483 |
| Square root | 124.205475 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5427 × |
15427 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and twenty-seven |
| Binary (base 2) | 11110001000011 |
| Octal (base 8) | 36103 |
| Hexadecimal (base 16) | 3C43 |
| Base 3 | 210011101 |
| As time | 15427 seconds = 4 h 17 min 7 s |
Is 15427 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 2) | 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 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 1) | 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 5) | 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 15427 a prime number?
Yes. 15427 is divisible only by 1 and itself.
What are the factors of 15427?
1, 15427.
What is 15427 in binary?
11110001000011 (hexadecimal 3C43, octal 36103).
What is the square root of 15427?
About 124.2055.
Is 15427 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15427?
15427 is the 1802nd prime number.