The number 3580
3580 is a composite number with 12 divisors. Its prime factorisation is × 5 × 179. Divisors (12): 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3580 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3580 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3580 itself that is 3980, so 3580 is abundant (3980 is more than 3580). Euler's totient φ(3580) = 1424 numbers up to 3580 share no factor with it.
- 4
The digits of 3580 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3580 = 2^{2} \times 5 \times 179 \]3580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1424 |
| Square | 12816400 |
| Cube | 45882712000 |
| Square root | 59.833101 (= 2√895) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.58 × |
3580 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and eighty |
| Roman numerals | MMMDLXXX |
| Binary (base 2) | 110111111100 |
| Octal (base 8) | 6774 |
| Hexadecimal (base 16) | DFC |
| Base 3 | 11220121 |
| As time | 3580 seconds = 59 min 40 s |
Is 3580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3580 ÷ 2 = 1790) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3580 ÷ 4 = 895) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3580 ÷ 5 = 716) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3580 ÷ 10 = 358) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3580 a prime number?
No. 3580 = × 5 × 179, so it is divisible by 2.
What are the factors of 3580?
1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580.
What is 3580 in binary?
110111111100 (hexadecimal DFC, octal 6774).
What is the square root of 3580?
About 59.8331, exactly 2√895.
What is 3580 in Roman numerals?
MMMDLXXX.
Is 3580 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3580?
It is a composite number with 12 divisors.