The number 467
467 is the 91st prime number. Its only divisors are 1 and 467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 467: the 91st prime number.
- 2
467 is prime, so its only factors are 1 and 467. It is the 91st prime; the next prime is 479 and the one before is 463.
- 3
The divisors add up to 468; without 467 itself that is 1, so 467 is deficient (1 is less than 467). Euler's totient φ(467) = 466 numbers up to 467 share no factor with it.
- 4
The digits of 467 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 468 |
| Euler totient φ(n) | 466 |
| Square | 218089 |
| Cube | 101847563 |
| Square root | 21.610183 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 4.67 × |
467 in other forms
| Form | Value |
|---|---|
| In words | four hundred and sixty-seven |
| Roman numerals | CDLXVII |
| Binary (base 2) | 111010011 |
| Octal (base 8) | 723 |
| Hexadecimal (base 16) | 1D3 |
| Base 3 | 122022 |
| As time | 467 seconds = 7 min 47 s |
Is 467 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 2) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 467 a prime number?
Yes. 467 is divisible only by 1 and itself.
What are the factors of 467?
1, 467.
What is 467 in binary?
111010011 (hexadecimal 1D3, octal 723).
What is the square root of 467?
About 21.6102.
What is 467 in Roman numerals?
CDLXVII.
Is 467 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 467?
467 is the 91st prime number.