The number 10139
10139 is a twin prime (10139 and 10141 are both prime) and the 1244th prime number. Its only divisors are 1 and 10139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10139: a twin prime (10139 and 10141 are both prime); the 1244th prime number.
- 2
10139 is prime, so its only factors are 1 and 10139. It is the 1244th prime; the next prime is 10141 and the one before is 10133.
- 3
The divisors add up to 10140; without 10139 itself that is 1, so 10139 is deficient (1 is less than 10139). Euler's totient φ(10139) = 10138 numbers up to 10139 share no factor with it.
- 4
The digits of 10139 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 60 steps to reach 1.
10139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10140 |
| Euler totient φ(n) | 10138 |
| Square | 102799321 |
| Cube | 1042282315619 |
| Square root | 100.692602 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.0139 × |
10139 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and thirty-nine |
| Binary (base 2) | 10011110011011 |
| Octal (base 8) | 23633 |
| Hexadecimal (base 16) | 279B |
| Base 3 | 111220112 |
| As time | 10139 seconds = 2 h 48 min 59 s |
Is 10139 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 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10139 a prime number?
Yes. 10139 is divisible only by 1 and itself.
What are the factors of 10139?
1, 10139.
What is 10139 in binary?
10011110011011 (hexadecimal 279B, octal 23633).
What is the square root of 10139?
About 100.6926.
Is 10139 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10139?
10139 is a twin prime (10139 and 10141 are both prime); the 1244th prime number.