The number 67477
67477 is the 6721st prime number. Its only divisors are 1 and 67477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67477: the 6721st prime number.
- 2
67477 is prime, so its only factors are 1 and 67477. It is the 6721st prime; the next prime is 67481 and the one before is 67453.
- 3
The divisors add up to 67478; without 67477 itself that is 1, so 67477 is deficient (1 is less than 67477). Euler's totient φ(67477) = 67476 numbers up to 67477 share no factor with it.
- 4
The digits of 67477 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
67477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67478 |
| Euler totient φ(n) | 67476 |
| Square | 4553145529 |
| Cube | 307232600860333 |
| Square root | 259.763354 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7477 × |
67477 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and seventy-seven |
| Binary (base 2) | 10000011110010101 |
| Octal (base 8) | 203625 |
| Hexadecimal (base 16) | 10795 |
| Base 3 | 10102120011 |
| As time | 67477 seconds = 18 h 44 min 37 s |
Is 67477 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 2) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 67477 a prime number?
Yes. 67477 is divisible only by 1 and itself.
What are the factors of 67477?
1, 67477.
What is 67477 in binary?
10000011110010101 (hexadecimal 10795, octal 203625).
What is the square root of 67477?
About 259.7634.
Is 67477 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67477?
67477 is the 6721st prime number.