The number 463
463 is a twin prime (461 and 463 are both prime) and the 90th prime number. Its only divisors are 1 and 463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 463: a twin prime (461 and 463 are both prime); the 90th prime number.
- 2
463 is prime, so its only factors are 1 and 463. It is the 90th prime; the next prime is 467 and the one before is 461.
- 3
The divisors add up to 464; without 463 itself that is 1, so 463 is deficient (1 is less than 463). Euler's totient φ(463) = 462 numbers up to 463 share no factor with it.
- 4
The digits of 463 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 464 |
| Euler totient φ(n) | 462 |
| Square | 214369 |
| Cube | 99252847 |
| Square root | 21.517435 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 4.63 × |
463 in other forms
| Form | Value |
|---|---|
| In words | four hundred and sixty-three |
| Roman numerals | CDLXIII |
| Binary (base 2) | 111001111 |
| Octal (base 8) | 717 |
| Hexadecimal (base 16) | 1CF |
| Base 3 | 122011 |
| As time | 463 seconds = 7 min 43 s |
Is 463 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 463 a prime number?
Yes. 463 is divisible only by 1 and itself.
What are the factors of 463?
1, 463.
What is 463 in binary?
111001111 (hexadecimal 1CF, octal 717).
What is the square root of 463?
About 21.5174.
What is 463 in Roman numerals?
CDLXIII.
Is 463 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 463?
463 is a twin prime (461 and 463 are both prime); the 90th prime number.