The number 3690
3690 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 41. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205 … 3690.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3690: a Harshad number: divisible by its digit sum 18.
- 2
3690 is composite. Its prime factorisation is
- 3
The divisors add up to 9828; without 3690 itself that is 6138, so 3690 is abundant (6138 is more than 3690). Euler's totient φ(3690) = 960 numbers up to 3690 share no factor with it.
- 4
The digits of 3690 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3690 = 2 \times 3^{2} \times 5 \times 41 \]3690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9828 |
| Euler totient φ(n) | 960 |
| Square | 13616100 |
| Cube | 50243409000 |
| Square root | 60.745370 (= 3√410) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.69 × |
3690 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and ninety |
| Roman numerals | MMMDCXC |
| Binary (base 2) | 111001101010 |
| Octal (base 8) | 7152 |
| Hexadecimal (base 16) | E6A |
| Base 3 | 12001200 |
| As time | 3690 seconds = 1 h 1 min 30 s |
Is 3690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3690 ÷ 2 = 1845) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3690 ÷ 3 = 1230) | 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 (3690 ÷ 5 = 738) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3690 ÷ 6 = 615) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3690 ÷ 9 = 410) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3690 ÷ 10 = 369) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3690 a prime number?
No. 3690 = 2 × × 5 × 41, so it is divisible by 2.
What are the factors of 3690?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690.
What is 3690 in binary?
111001101010 (hexadecimal E6A, octal 7152).
What is the square root of 3690?
About 60.7454, exactly 3√410.
What is 3690 in Roman numerals?
MMMDCXC.
Is 3690 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3690?
3690 is a Harshad number: divisible by its digit sum 18.