The number 58408
58408 is a composite number with 24 divisors. Its prime factorisation is × × 149. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 149, 196, 298, 392, 596, 1043 … 58408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58408 is composite. Its prime factorisation is
- 3
The divisors add up to 128250; without 58408 itself that is 69842, so 58408 is abundant (69842 is more than 58408). Euler's totient φ(58408) = 24864 numbers up to 58408 share no factor with it.
- 4
The digits of 58408 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58408 = 2^{3} \times 7^{2} \times 149 \]58408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128250 |
| Euler totient φ(n) | 24864 |
| Square | 3411494464 |
| Cube | 199258568653312 |
| Square root | 241.677471 (= 14√298) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8408 × |
58408 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and eight |
| Binary (base 2) | 1110010000101000 |
| Octal (base 8) | 162050 |
| Hexadecimal (base 16) | E428 |
| Base 3 | 2222010021 |
| As time | 58408 seconds = 16 h 13 min 28 s |
Is 58408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58408 ÷ 2 = 29204) | 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 (58408 ÷ 4 = 14602) | 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 | Yes (58408 ÷ 7 = 8344) | 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 (58408 ÷ 8 = 7301) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 58408 a prime number?
No. 58408 = × × 149, so it is divisible by 2.
What are the factors of 58408?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 149, 196, 298, 392, 596, 1043, 1192, 2086, 4172, 7301, 8344, 14602, 29204, 58408.
What is 58408 in binary?
1110010000101000 (hexadecimal E428, octal 162050).
What is the square root of 58408?
About 241.6775, exactly 14√298.
Is 58408 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58408?
It is a composite number with 24 divisors.