The number 67979
67979 is the 6772nd prime number. Its only divisors are 1 and 67979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67979: the 6772nd prime number.
- 2
67979 is prime, so its only factors are 1 and 67979. It is the 6772nd prime; the next prime is 67987 and the one before is 67967.
- 3
The divisors add up to 67980; without 67979 itself that is 1, so 67979 is deficient (1 is less than 67979). Euler's totient φ(67979) = 67978 numbers up to 67979 share no factor with it.
- 4
The digits of 67979 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
67979 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67980 |
| Euler totient φ(n) | 67978 |
| Square | 4621144441 |
| Cube | 314140777954739 |
| Square root | 260.727827 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7979 × |
67979 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and seventy-nine |
| Binary (base 2) | 10000100110001011 |
| Octal (base 8) | 204613 |
| Hexadecimal (base 16) | 1098B |
| Base 3 | 10110020202 |
| As time | 67979 seconds = 18 h 52 min 59 s |
Is 67979 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 2) | 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 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 67979 a prime number?
Yes. 67979 is divisible only by 1 and itself.
What are the factors of 67979?
1, 67979.
What is 67979 in binary?
10000100110001011 (hexadecimal 1098B, octal 204613).
What is the square root of 67979?
About 260.7278.
Is 67979 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 67979?
67979 is the 6772nd prime number.