The number 10427
10427 is a twin prime (10427 and 10429 are both prime) and the 1275th prime number. Its only divisors are 1 and 10427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10427: a twin prime (10427 and 10429 are both prime); the 1275th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10427 is prime, so its only factors are 1 and 10427. It is the 1275th prime; the next prime is 10429 and the one before is 10399.
- 3
The divisors add up to 10428; without 10427 itself that is 1, so 10427 is deficient (1 is less than 10427). Euler's totient φ(10427) = 10426 numbers up to 10427 share no factor with it.
- 4
The digits of 10427 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
10427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10428 |
| Euler totient φ(n) | 10426 |
| Square | 108722329 |
| Cube | 1133647724483 |
| Square root | 102.112683 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 1.0427 × |
10427 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-seven |
| Binary (base 2) | 10100010111011 |
| Octal (base 8) | 24273 |
| Hexadecimal (base 16) | 28BB |
| Base 3 | 112022012 |
| As time | 10427 seconds = 2 h 53 min 47 s |
Is 10427 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 4) | 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 10) | 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 10427 a prime number?
Yes. 10427 is divisible only by 1 and itself.
What are the factors of 10427?
1, 10427.
What is 10427 in binary?
10100010111011 (hexadecimal 28BB, octal 24273).
What is the square root of 10427?
About 102.1127.
Is 10427 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10427?
10427 is a twin prime (10427 and 10429 are both prime); the 1275th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.