The number 3582
3582 is a composite number with 12 divisors. Its prime factorisation is 2 × × 199. Divisors (12): 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3582: a Harshad number: divisible by its digit sum 18.
- 2
3582 is composite. Its prime factorisation is
- 3
The divisors add up to 7800; without 3582 itself that is 4218, so 3582 is abundant (4218 is more than 3582). Euler's totient φ(3582) = 1188 numbers up to 3582 share no factor with it.
- 4
The digits of 3582 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3582 = 2 \times 3^{2} \times 199 \]3582 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7800 |
| Euler totient φ(n) | 1188 |
| Square | 12830724 |
| Cube | 45959653368 |
| Square root | 59.849812 (= 3√398) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.582 × |
3582 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and eighty-two |
| Roman numerals | MMMDLXXXII |
| Binary (base 2) | 110111111110 |
| Octal (base 8) | 6776 |
| Hexadecimal (base 16) | DFE |
| Base 3 | 11220200 |
| As time | 3582 seconds = 59 min 42 s |
Is 3582 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3582 ÷ 2 = 1791) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3582 ÷ 3 = 1194) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3582 ÷ 6 = 597) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3582 ÷ 9 = 398) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3582 a prime number?
No. 3582 = 2 × × 199, so it is divisible by 2.
What are the factors of 3582?
1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582.
What is 3582 in binary?
110111111110 (hexadecimal DFE, octal 6776).
What is the square root of 3582?
About 59.8498, exactly 3√398.
What is 3582 in Roman numerals?
MMMDLXXXII.
Is 3582 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3582?
3582 is a Harshad number: divisible by its digit sum 18.