The number 67139
67139 is a twin prime (67139 and 67141 are both prime) and the 6688th prime number. Its only divisors are 1 and 67139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67139: a twin prime (67139 and 67141 are both prime); the 6688th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67139 is prime, so its only factors are 1 and 67139. It is the 6688th prime; the next prime is 67141 and the one before is 67129.
- 3
The divisors add up to 67140; without 67139 itself that is 1, so 67139 is deficient (1 is less than 67139). Euler's totient φ(67139) = 67138 numbers up to 67139 share no factor with it.
- 4
The digits of 67139 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 112 steps to reach 1.
67139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67140 |
| Euler totient φ(n) | 67138 |
| Square | 4507645321 |
| Cube | 302638799206619 |
| Square root | 259.111945 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7139 × |
67139 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-nine |
| Binary (base 2) | 10000011001000011 |
| Octal (base 8) | 203103 |
| Hexadecimal (base 16) | 10643 |
| Base 3 | 10102002122 |
| As time | 67139 seconds = 18 h 38 min 59 s |
Is 67139 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 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 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 67139 a prime number?
Yes. 67139 is divisible only by 1 and itself.
What are the factors of 67139?
1, 67139.
What is 67139 in binary?
10000011001000011 (hexadecimal 10643, octal 203103).
What is the square root of 67139?
About 259.1119.
Is 67139 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67139?
67139 is a twin prime (67139 and 67141 are both prime); the 6688th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.