The number 58864
58864 is a composite number with 20 divisors. Its prime factorisation is × 13 × 283. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 283, 566, 1132, 2264, 3679, 4528 … 58864.
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How to work it out
- 1
58864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58864 is composite. Its prime factorisation is
- 3
The divisors add up to 123256; without 58864 itself that is 64392, so 58864 is abundant (64392 is more than 58864). Euler's totient φ(58864) = 27072 numbers up to 58864 share no factor with it.
- 4
The digits of 58864 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58864 = 2^{4} \times 13 \times 283 \]58864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 123256 |
| Euler totient φ(n) | 27072 |
| Square | 3464970496 |
| Cube | 203962023276544 |
| Square root | 242.619043 (= 4√3679) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8864 × |
58864 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and sixty-four |
| Binary (base 2) | 1110010111110000 |
| Octal (base 8) | 162760 |
| Hexadecimal (base 16) | E5F0 |
| Base 3 | 2222202011 |
| As time | 58864 seconds = 16 h 21 min 4 s |
Is 58864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58864 ÷ 2 = 29432) | 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 (58864 ÷ 4 = 14716) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (58864 ÷ 8 = 7358) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 58864 a prime number?
No. 58864 = × 13 × 283, so it is divisible by 2.
What are the factors of 58864?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 283, 566, 1132, 2264, 3679, 4528, 7358, 14716, 29432, 58864.
What is 58864 in binary?
1110010111110000 (hexadecimal E5F0, octal 162760).
What is the square root of 58864?
About 242.6190, exactly 4√3679.
Is 58864 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 58864?
It is a composite number with 20 divisors.