The number 58388
58388 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1327. Divisors (12): 1, 2, 4, 11, 22, 44, 1327, 2654, 5308, 14597, 29194, 58388.
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How to work it out
- 1
What is special about 58388: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58388 is composite. Its prime factorisation is
- 3
The divisors add up to 111552; without 58388 itself that is 53164, so 58388 is deficient (53164 is less than 58388). Euler's totient φ(58388) = 26520 numbers up to 58388 share no factor with it.
- 4
The digits of 58388 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58388 = 2^{2} \times 11 \times 1327 \]58388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111552 |
| Euler totient φ(n) | 26520 |
| Square | 3409158544 |
| Cube | 199053949067072 |
| Square root | 241.636090 (= 2√14597) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8388 × |
58388 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and eighty-eight |
| Binary (base 2) | 1110010000010100 |
| Octal (base 8) | 162024 |
| Hexadecimal (base 16) | E414 |
| Base 3 | 2222002112 |
| As time | 58388 seconds = 16 h 13 min 8 s |
Is 58388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58388 ÷ 2 = 29194) | 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 (58388 ÷ 4 = 14597) | 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 1) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58388 ÷ 11 = 5308) | 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 58388 a prime number?
No. 58388 = × 11 × 1327, so it is divisible by 2.
What are the factors of 58388?
1, 2, 4, 11, 22, 44, 1327, 2654, 5308, 14597, 29194, 58388.
What is 58388 in binary?
1110010000010100 (hexadecimal E414, octal 162024).
What is the square root of 58388?
About 241.6361, exactly 2√14597.
Is 58388 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58388?
58388 is a happy number: repeatedly adding the squares of its digits reaches 1.