The number 3180
3180 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 53. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212 … 3180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3180: a Harshad number: divisible by its digit sum 12.
- 2
3180 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 3180 itself that is 5892, so 3180 is abundant (5892 is more than 3180). Euler's totient φ(3180) = 832 numbers up to 3180 share no factor with it.
- 4
The digits of 3180 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3180 = 2^{2} \times 3 \times 5 \times 53 \]3180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 832 |
| Square | 10112400 |
| Cube | 32157432000 |
| Square root | 56.391489 (= 2√795) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.18 × |
3180 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and eighty |
| Roman numerals | MMMCLXXX |
| Binary (base 2) | 110001101100 |
| Octal (base 8) | 6154 |
| Hexadecimal (base 16) | C6C |
| Base 3 | 11100210 |
| As time | 3180 seconds = 53 min 0 s |
Is 3180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3180 ÷ 2 = 1590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3180 ÷ 3 = 1060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3180 ÷ 4 = 795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3180 ÷ 5 = 636) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3180 ÷ 6 = 530) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3180 ÷ 10 = 318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3180 ÷ 12 = 265) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3180 a prime number?
No. 3180 = × 3 × 5 × 53, so it is divisible by 2.
What are the factors of 3180?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180.
What is 3180 in binary?
110001101100 (hexadecimal C6C, octal 6154).
What is the square root of 3180?
About 56.3915, exactly 2√795.
What is 3180 in Roman numerals?
MMMCLXXX.
Is 3180 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3180?
3180 is a Harshad number: divisible by its digit sum 12.