The number 58968
58968 is a composite number with 80 divisors. Its prime factorisation is × × 7 × 13. Divisors (80): 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27 … 58968.
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How to work it out
- 1
What is special about 58968: a Harshad number: divisible by its digit sum 36.
- 2
58968 is composite. Its prime factorisation is
- 3
The divisors add up to 203280; without 58968 itself that is 144312, so 58968 is abundant (144312 is more than 58968). Euler's totient φ(58968) = 15552 numbers up to 58968 share no factor with it.
- 4
The digits of 58968 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58968 = 2^{3} \times 3^{4} \times 7 \times 13 \]58968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 203280 |
| Euler totient φ(n) | 15552 |
| Square | 3477225024 |
| Cube | 205045005215232 |
| Square root | 242.833276 (= 18√182) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8968 × |
58968 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and sixty-eight |
| Binary (base 2) | 1110011001011000 |
| Octal (base 8) | 163130 |
| Hexadecimal (base 16) | E658 |
| Base 3 | 2222220000 |
| As time | 58968 seconds = 16 h 22 min 48 s |
Is 58968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58968 ÷ 2 = 29484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58968 ÷ 3 = 19656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58968 ÷ 4 = 14742) | 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 | Yes (58968 ÷ 6 = 9828) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58968 ÷ 7 = 8424) | 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 (58968 ÷ 8 = 7371) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58968 ÷ 9 = 6552) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58968 ÷ 12 = 4914) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58968 a prime number?
No. 58968 = × × 7 × 13, so it is divisible by 2.
What are the factors of 58968?
1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27, 28, 36, 39, 42, 52, 54, 56, 63, 72, 78, 81, 84, 91, 104, 108, 117, 126, 156, 162, 168, 182, 189, 216, 234, 252, 273, 312, 324, 351, 364, 378, 468, 504, 546, 567, 648, 702, 728, 756, 819, 936, 1053, 1092, 1134, 1404, 1512, 1638, 2106, 2184, 2268, 2457, 2808, 3276, 4212, 4536, 4914, 6552, 7371, 8424, 9828, 14742, 19656, 29484, 58968.
What is 58968 in binary?
1110011001011000 (hexadecimal E658, octal 163130).
What is the square root of 58968?
About 242.8333, exactly 18√182.
Is 58968 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 58968?
58968 is a Harshad number: divisible by its digit sum 36.