The number 30448
30448 is a composite number with 20 divisors. Its prime factorisation is × 11 × 173. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 173, 176, 346, 692, 1384, 1903, 2768 … 30448.
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How to work it out
- 1
30448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30448 is composite. Its prime factorisation is
- 3
The divisors add up to 64728; without 30448 itself that is 34280, so 30448 is abundant (34280 is more than 30448). Euler's totient φ(30448) = 13760 numbers up to 30448 share no factor with it.
- 4
The digits of 30448 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30448 = 2^{4} \times 11 \times 173 \]30448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 64728 |
| Euler totient φ(n) | 13760 |
| Square | 927080704 |
| Cube | 28227753275392 |
| Square root | 174.493553 (= 4√1903) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.0448 × |
30448 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and forty-eight |
| Binary (base 2) | 111011011110000 |
| Octal (base 8) | 73360 |
| Hexadecimal (base 16) | 76F0 |
| Base 3 | 1112202201 |
| As time | 30448 seconds = 8 h 27 min 28 s |
Is 30448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30448 ÷ 2 = 15224) | 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 | Yes (30448 ÷ 4 = 7612) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (30448 ÷ 8 = 3806) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (30448 ÷ 11 = 2768) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30448 a prime number?
No. 30448 = × 11 × 173, so it is divisible by 2.
What are the factors of 30448?
1, 2, 4, 8, 11, 16, 22, 44, 88, 173, 176, 346, 692, 1384, 1903, 2768, 3806, 7612, 15224, 30448.
What is 30448 in binary?
111011011110000 (hexadecimal 76F0, octal 73360).
What is the square root of 30448?
About 174.4936, exactly 4√1903.
Is 30448 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 30448?
It is a composite number with 20 divisors.