The number 48029
48029 is the 4949th prime number. Its only divisors are 1 and 48029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48029: the 4949th prime number.
- 2
48029 is prime, so its only factors are 1 and 48029. It is the 4949th prime; the next prime is 48049 and the one before is 48023.
- 3
The divisors add up to 48030; without 48029 itself that is 1, so 48029 is deficient (1 is less than 48029). Euler's totient φ(48029) = 48028 numbers up to 48029 share no factor with it.
- 4
The digits of 48029 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48030 |
| Euler totient φ(n) | 48028 |
| Square | 2306784841 |
| Cube | 110792569128389 |
| Square root | 219.155196 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8029 × |
48029 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-nine |
| Binary (base 2) | 1011101110011101 |
| Octal (base 8) | 135635 |
| Hexadecimal (base 16) | BB9D |
| Base 3 | 2102212212 |
| As time | 48029 seconds = 13 h 20 min 29 s |
Is 48029 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 1) | 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 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48029 a prime number?
Yes. 48029 is divisible only by 1 and itself.
What are the factors of 48029?
1, 48029.
What is 48029 in binary?
1011101110011101 (hexadecimal BB9D, octal 135635).
What is the square root of 48029?
About 219.1552.
Is 48029 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48029?
48029 is the 4949th prime number.