The number 48479
48479 is a twin prime (48479 and 48481 are both prime) and the 4986th prime number. Its only divisors are 1 and 48479.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48479: a twin prime (48479 and 48481 are both prime); the 4986th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48479 is prime, so its only factors are 1 and 48479. It is the 4986th prime; the next prime is 48481 and the one before is 48473.
- 3
The divisors add up to 48480; without 48479 itself that is 1, so 48479 is deficient (1 is less than 48479). Euler's totient φ(48479) = 48478 numbers up to 48479 share no factor with it.
- 4
The digits of 48479 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48479 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48480 |
| Euler totient φ(n) | 48478 |
| Square | 2350213441 |
| Cube | 113935997406239 |
| Square root | 220.179472 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8479 × |
48479 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-nine |
| Binary (base 2) | 1011110101011111 |
| Octal (base 8) | 136537 |
| Hexadecimal (base 16) | BD5F |
| Base 3 | 2110111112 |
| As time | 48479 seconds = 13 h 27 min 59 s |
Is 48479 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 48479 a prime number?
Yes. 48479 is divisible only by 1 and itself.
What are the factors of 48479?
1, 48479.
What is 48479 in binary?
1011110101011111 (hexadecimal BD5F, octal 136537).
What is the square root of 48479?
About 220.1795.
Is 48479 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48479?
48479 is a twin prime (48479 and 48481 are both prime); the 4986th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.