The number 588
588 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196 … 588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 588: a Harshad number: divisible by its digit sum 21.
- 2
588 is composite. Its prime factorisation is
- 3
The divisors add up to 1596; without 588 itself that is 1008, so 588 is abundant (1008 is more than 588). Euler's totient φ(588) = 168 numbers up to 588 share no factor with it.
- 4
The digits of 588 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 588 = 2^{2} \times 3 \times 7^{2} \]588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 1596 |
| Euler totient φ(n) | 168 |
| Square | 345744 |
| Cube | 203297472 |
| Square root | 24.248711 (= 14√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 118 |
| Scientific notation | 5.88 × |
588 in other forms
| Form | Value |
|---|---|
| In words | five hundred and eighty-eight |
| Roman numerals | DLXXXVIII |
| Binary (base 2) | 1001001100 |
| Octal (base 8) | 1114 |
| Hexadecimal (base 16) | 24C |
| Base 3 | 210210 |
| As time | 588 seconds = 9 min 48 s |
Is 588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (588 ÷ 2 = 294) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (588 ÷ 3 = 196) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (588 ÷ 4 = 147) | 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 (588 ÷ 6 = 98) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (588 ÷ 7 = 84) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (588 ÷ 12 = 49) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 588 a prime number?
No. 588 = × 3 × , so it is divisible by 2.
What are the factors of 588?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588.
What is 588 in binary?
1001001100 (hexadecimal 24C, octal 1114).
What is the square root of 588?
About 24.2487, exactly 14√3.
What is 588 in Roman numerals?
DLXXXVIII.
Is 588 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 588?
588 is a Harshad number: divisible by its digit sum 21.