The number 48463
48463 is the 4984th prime number. Its only divisors are 1 and 48463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48463: the 4984th prime number.
- 2
48463 is prime, so its only factors are 1 and 48463. It is the 4984th prime; the next prime is 48473 and the one before is 48449.
- 3
The divisors add up to 48464; without 48463 itself that is 1, so 48463 is deficient (1 is less than 48463). Euler's totient φ(48463) = 48462 numbers up to 48463 share no factor with it.
- 4
The digits of 48463 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48464 |
| Euler totient φ(n) | 48462 |
| Square | 2348662369 |
| Cube | 113823224388847 |
| Square root | 220.143135 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8463 × |
48463 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and sixty-three |
| Binary (base 2) | 1011110101001111 |
| Octal (base 8) | 136517 |
| Hexadecimal (base 16) | BD4F |
| Base 3 | 2110110221 |
| As time | 48463 seconds = 13 h 27 min 43 s |
Is 48463 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 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 7) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48463 a prime number?
Yes. 48463 is divisible only by 1 and itself.
What are the factors of 48463?
1, 48463.
What is 48463 in binary?
1011110101001111 (hexadecimal BD4F, octal 136517).
What is the square root of 48463?
About 220.1431.
Is 48463 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48463?
48463 is the 4984th prime number.