The number 58764
58764 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 83, 118, 166, 177, 236, 249, 332, 354, 498 … 58764.
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How to work it out
- 1
What is special about 58764: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58764 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 58764 itself that is 82356, so 58764 is abundant (82356 is more than 58764). Euler's totient φ(58764) = 19024 numbers up to 58764 share no factor with it.
- 4
The digits of 58764 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58764 = 2^{2} \times 3 \times 59 \times 83 \]58764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 19024 |
| Square | 3453207696 |
| Cube | 202924297047744 |
| Square root | 242.412871 (= 2√14691) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8764 × |
58764 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and sixty-four |
| Binary (base 2) | 1110010110001100 |
| Octal (base 8) | 162614 |
| Hexadecimal (base 16) | E58C |
| Base 3 | 2222121110 |
| As time | 58764 seconds = 16 h 19 min 24 s |
Is 58764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58764 ÷ 2 = 29382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58764 ÷ 3 = 19588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58764 ÷ 4 = 14691) | 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 | Yes (58764 ÷ 6 = 9794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58764 ÷ 12 = 4897) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58764 a prime number?
No. 58764 = × 3 × 59 × 83, so it is divisible by 2.
What are the factors of 58764?
1, 2, 3, 4, 6, 12, 59, 83, 118, 166, 177, 236, 249, 332, 354, 498, 708, 996, 4897, 9794, 14691, 19588, 29382, 58764.
What is 58764 in binary?
1110010110001100 (hexadecimal E58C, octal 162614).
What is the square root of 58764?
About 242.4129, exactly 2√14691.
Is 58764 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58764?
58764 is a happy number: repeatedly adding the squares of its digits reaches 1.