The number 3660
3660 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 61. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244 … 3660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3660: a Harshad number: divisible by its digit sum 15.
- 2
3660 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 3660 itself that is 6756, so 3660 is abundant (6756 is more than 3660). Euler's totient φ(3660) = 960 numbers up to 3660 share no factor with it.
- 4
The digits of 3660 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3660 = 2^{2} \times 3 \times 5 \times 61 \]3660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 960 |
| Square | 13395600 |
| Cube | 49027896000 |
| Square root | 60.497934 (= 2√915) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.66 × |
3660 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and sixty |
| Roman numerals | MMMDCLX |
| Binary (base 2) | 111001001100 |
| Octal (base 8) | 7114 |
| Hexadecimal (base 16) | E4C |
| Base 3 | 12000120 |
| As time | 3660 seconds = 1 h 1 min 0 s |
Is 3660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3660 ÷ 2 = 1830) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3660 ÷ 3 = 1220) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3660 ÷ 4 = 915) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3660 ÷ 5 = 732) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3660 ÷ 6 = 610) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3660 ÷ 10 = 366) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3660 ÷ 12 = 305) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3660 a prime number?
No. 3660 = × 3 × 5 × 61, so it is divisible by 2.
What are the factors of 3660?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660.
What is 3660 in binary?
111001001100 (hexadecimal E4C, octal 7114).
What is the square root of 3660?
About 60.4979, exactly 2√915.
What is 3660 in Roman numerals?
MMMDCLX.
Is 3660 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3660?
3660 is a Harshad number: divisible by its digit sum 15.