The number 67489
67489 is the 6723rd prime number. Its only divisors are 1 and 67489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67489: the 6723rd prime number.
- 2
67489 is prime, so its only factors are 1 and 67489. It is the 6723rd prime; the next prime is 67493 and the one before is 67481.
- 3
The divisors add up to 67490; without 67489 itself that is 1, so 67489 is deficient (1 is less than 67489). Euler's totient φ(67489) = 67488 numbers up to 67489 share no factor with it.
- 4
The digits of 67489 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
67489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67490 |
| Euler totient φ(n) | 67488 |
| Square | 4554765121 |
| Cube | 307396543251169 |
| Square root | 259.786451 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7489 × |
67489 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eighty-nine |
| Binary (base 2) | 10000011110100001 |
| Octal (base 8) | 203641 |
| Hexadecimal (base 16) | 107A1 |
| Base 3 | 10102120121 |
| As time | 67489 seconds = 18 h 44 min 49 s |
Is 67489 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 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67489 a prime number?
Yes. 67489 is divisible only by 1 and itself.
What are the factors of 67489?
1, 67489.
What is 67489 in binary?
10000011110100001 (hexadecimal 107A1, octal 203641).
What is the square root of 67489?
About 259.7865.
Is 67489 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 67489?
67489 is the 6723rd prime number.