The number 58448
58448 is a composite number with 20 divisors. Its prime factorisation is × 13 × 281. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 281, 562, 1124, 2248, 3653, 4496 … 58448.
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How to work it out
- 1
58448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58448 is composite. Its prime factorisation is
- 3
The divisors add up to 122388; without 58448 itself that is 63940, so 58448 is abundant (63940 is more than 58448). Euler's totient φ(58448) = 26880 numbers up to 58448 share no factor with it.
- 4
The digits of 58448 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58448 = 2^{4} \times 13 \times 281 \]58448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 122388 |
| Euler totient φ(n) | 26880 |
| Square | 3416168704 |
| Cube | 199668228411392 |
| Square root | 241.760212 (= 4√3653) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8448 × |
58448 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and forty-eight |
| Binary (base 2) | 1110010001010000 |
| Octal (base 8) | 162120 |
| Hexadecimal (base 16) | E450 |
| Base 3 | 2222011202 |
| As time | 58448 seconds = 16 h 14 min 8 s |
Is 58448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58448 ÷ 2 = 29224) | 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 | Yes (58448 ÷ 4 = 14612) | 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 2) | 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 (58448 ÷ 8 = 7306) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58448 a prime number?
No. 58448 = × 13 × 281, so it is divisible by 2.
What are the factors of 58448?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 281, 562, 1124, 2248, 3653, 4496, 7306, 14612, 29224, 58448.
What is 58448 in binary?
1110010001010000 (hexadecimal E450, octal 162120).
What is the square root of 58448?
About 241.7602, exactly 4√3653.
Is 58448 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58448?
It is a composite number with 20 divisors.