The number 4463
4463 is the 607th prime number. Its only divisors are 1 and 4463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4463: the 607th prime number.
- 2
4463 is prime, so its only factors are 1 and 4463. It is the 607th prime; the next prime is 4481 and the one before is 4457.
- 3
The divisors add up to 4464; without 4463 itself that is 1, so 4463 is deficient (1 is less than 4463). Euler's totient φ(4463) = 4462 numbers up to 4463 share no factor with it.
- 4
The digits of 4463 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 46 steps to reach 1.
4463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4464 |
| Euler totient φ(n) | 4462 |
| Square | 19918369 |
| Cube | 88895680847 |
| Square root | 66.805688 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.463 × |
4463 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and sixty-three |
| Binary (base 2) | 1000101101111 |
| Octal (base 8) | 10557 |
| Hexadecimal (base 16) | 116F |
| Base 3 | 20010022 |
| As time | 4463 seconds = 1 h 14 min 23 s |
Is 4463 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 3) | 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 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4463 a prime number?
Yes. 4463 is divisible only by 1 and itself.
What are the factors of 4463?
1, 4463.
What is 4463 in binary?
1000101101111 (hexadecimal 116F, octal 10557).
What is the square root of 4463?
About 66.8057.
Is 4463 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4463?
4463 is the 607th prime number.