The number 30048
30048 is a composite number with 24 divisors. Its prime factorisation is × 3 × 313. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252 … 30048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30048 is composite. Its prime factorisation is
- 3
The divisors add up to 79128; without 30048 itself that is 49080, so 30048 is abundant (49080 is more than 30048). Euler's totient φ(30048) = 9984 numbers up to 30048 share no factor with it.
- 4
The digits of 30048 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30048 = 2^{5} \times 3 \times 313 \]30048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79128 |
| Euler totient φ(n) | 9984 |
| Square | 902882304 |
| Cube | 27129807470592 |
| Square root | 173.343589 (= 4√1878) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.0048 × |
30048 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and forty-eight |
| Binary (base 2) | 111010101100000 |
| Octal (base 8) | 72540 |
| Hexadecimal (base 16) | 7560 |
| Base 3 | 1112012220 |
| As time | 30048 seconds = 8 h 20 min 48 s |
Is 30048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30048 ÷ 2 = 15024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30048 ÷ 3 = 10016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30048 ÷ 4 = 7512) | 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 | Yes (30048 ÷ 6 = 5008) | 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 | Yes (30048 ÷ 8 = 3756) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30048 ÷ 12 = 2504) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30048 a prime number?
No. 30048 = × 3 × 313, so it is divisible by 2.
What are the factors of 30048?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024, 30048.
What is 30048 in binary?
111010101100000 (hexadecimal 7560, octal 72540).
What is the square root of 30048?
About 173.3436, exactly 4√1878.
Is 30048 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 30048?
It is a composite number with 24 divisors.