The number 6060
6060 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 101. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404 … 6060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6060: a Harshad number: divisible by its digit sum 12.
- 2
6060 is composite. Its prime factorisation is
- 3
The divisors add up to 17136; without 6060 itself that is 11076, so 6060 is abundant (11076 is more than 6060). Euler's totient φ(6060) = 1600 numbers up to 6060 share no factor with it.
- 4
The digits of 6060 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6060 = 2^{2} \times 3 \times 5 \times 101 \]6060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17136 |
| Euler totient φ(n) | 1600 |
| Square | 36723600 |
| Cube | 222545016000 |
| Square root | 77.846002 (= 2√1515) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 6.06 × |
6060 in other forms
| Form | Value |
|---|---|
| In words | six thousand and sixty |
| Binary (base 2) | 1011110101100 |
| Octal (base 8) | 13654 |
| Hexadecimal (base 16) | 17AC |
| Base 3 | 22022110 |
| As time | 6060 seconds = 1 h 41 min 0 s |
Is 6060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6060 ÷ 2 = 3030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6060 ÷ 3 = 2020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6060 ÷ 4 = 1515) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6060 ÷ 5 = 1212) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6060 ÷ 6 = 1010) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (6060 ÷ 10 = 606) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6060 ÷ 12 = 505) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6060 a prime number?
No. 6060 = × 3 × 5 × 101, so it is divisible by 2.
What are the factors of 6060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060.
What is 6060 in binary?
1011110101100 (hexadecimal 17AC, octal 13654).
What is the square root of 6060?
About 77.8460, exactly 2√1515.
Is 6060 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6060?
6060 is a Harshad number: divisible by its digit sum 12.