The number 3590
3590 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 359. Divisors (8): 1, 2, 5, 10, 359, 718, 1795, 3590.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3590 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 3590 itself that is 2890, so 3590 is deficient (2890 is less than 3590). Euler's totient φ(3590) = 1432 numbers up to 3590 share no factor with it.
- 4
The digits of 3590 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3590 = 2 \times 5 \times 359 \]
3590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1432 |
| Square | 12888100 |
| Cube | 46268279000 |
| Square root | 59.916609 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.59 × |
3590 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and ninety |
| Roman numerals | MMMDXC |
| Binary (base 2) | 111000000110 |
| Octal (base 8) | 7006 |
| Hexadecimal (base 16) | E06 |
| Base 3 | 11220222 |
| As time | 3590 seconds = 59 min 50 s |
Is 3590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3590 ÷ 2 = 1795) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (3590 ÷ 5 = 718) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3590 ÷ 10 = 359) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3590 a prime number?
No. 3590 = 2 × 5 × 359, so it is divisible by 2.
What are the factors of 3590?
1, 2, 5, 10, 359, 718, 1795, 3590.
What is 3590 in binary?
111000000110 (hexadecimal E06, octal 7006).
What is the square root of 3590?
About 59.9166.
What is 3590 in Roman numerals?
MMMDXC.
Is 3590 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3590?
It is a composite number with 8 divisors.