The number 59238
59238 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1097. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1097, 2194, 3291, 6582, 9873, 19746, 29619, 59238.
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How to work it out
- 1
What is special about 59238: a Harshad number: divisible by its digit sum 27.
- 2
59238 is composite. Its prime factorisation is
- 3
The divisors add up to 131760; without 59238 itself that is 72522, so 59238 is abundant (72522 is more than 59238). Euler's totient φ(59238) = 19728 numbers up to 59238 share no factor with it.
- 4
The digits of 59238 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59238 = 2 \times 3^{3} \times 1097 \]59238 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131760 |
| Euler totient φ(n) | 19728 |
| Square | 3509140644 |
| Cube | 207874473469272 |
| Square root | 243.388578 (= 3√6582) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9238 × |
59238 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and thirty-eight |
| Binary (base 2) | 1110011101100110 |
| Octal (base 8) | 163546 |
| Hexadecimal (base 16) | E766 |
| Base 3 | 10000021000 |
| As time | 59238 seconds = 16 h 27 min 18 s |
Is 59238 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59238 ÷ 2 = 29619) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59238 ÷ 3 = 19746) | 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 (59238 ÷ 6 = 9873) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59238 ÷ 9 = 6582) | 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 3) | 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 59238 a prime number?
No. 59238 = 2 × × 1097, so it is divisible by 2.
What are the factors of 59238?
1, 2, 3, 6, 9, 18, 27, 54, 1097, 2194, 3291, 6582, 9873, 19746, 29619, 59238.
What is 59238 in binary?
1110011101100110 (hexadecimal E766, octal 163546).
What is the square root of 59238?
About 243.3886, exactly 3√6582.
Is 59238 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59238?
59238 is a Harshad number: divisible by its digit sum 27.