The number 58938
58938 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 19 × 47. Divisors (32): 1, 2, 3, 6, 11, 19, 22, 33, 38, 47, 57, 66, 94, 114, 141, 209 … 58938.
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How to work it out
- 1
What is special about 58938: a Harshad number: divisible by its digit sum 33.
- 2
58938 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 58938 itself that is 79302, so 58938 is abundant (79302 is more than 58938). Euler's totient φ(58938) = 16560 numbers up to 58938 share no factor with it.
- 4
The digits of 58938 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58938 = 2 \times 3 \times 11 \times 19 \times 47 \]
58938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 16560 |
| Square | 3473687844 |
| Cube | 204732214149672 |
| Square root | 242.771498 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8938 × |
58938 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and thirty-eight |
| Binary (base 2) | 1110011000111010 |
| Octal (base 8) | 163072 |
| Hexadecimal (base 16) | E63A |
| Base 3 | 2222211220 |
| As time | 58938 seconds = 16 h 22 min 18 s |
Is 58938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58938 ÷ 2 = 29469) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58938 ÷ 3 = 19646) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (58938 ÷ 6 = 9823) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (58938 ÷ 11 = 5358) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58938 a prime number?
No. 58938 = 2 × 3 × 11 × 19 × 47, so it is divisible by 2.
What are the factors of 58938?
1, 2, 3, 6, 11, 19, 22, 33, 38, 47, 57, 66, 94, 114, 141, 209, 282, 418, 517, 627, 893, 1034, 1254, 1551, 1786, 2679, 3102, 5358, 9823, 19646, 29469, 58938.
What is 58938 in binary?
1110011000111010 (hexadecimal E63A, octal 163072).
What is the square root of 58938?
About 242.7715.
Is 58938 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 58938?
58938 is a Harshad number: divisible by its digit sum 33.