The number 60060
60060 is a composite number with 96 divisors. Its prime factorisation is × 3 × 5 × 7 × 11 × 13. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22 … 60060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60060: a Harshad number: divisible by its digit sum 12.
- 2
60060 is composite. Its prime factorisation is
- 3
The divisors add up to 225792; without 60060 itself that is 165732, so 60060 is abundant (165732 is more than 60060). Euler's totient φ(60060) = 11520 numbers up to 60060 share no factor with it.
- 4
The digits of 60060 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60060 = 2^{2} \times 3 \times 5 \times 7 \times 11 \times 13 \]60060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 225792 |
| Euler totient φ(n) | 11520 |
| Square | 3607203600 |
| Cube | 216648648216000 |
| Square root | 245.071418 (= 2√15015) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.006 × |
60060 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and sixty |
| Binary (base 2) | 1110101010011100 |
| Octal (base 8) | 165234 |
| Hexadecimal (base 16) | EA9C |
| Base 3 | 10001101110 |
| As time | 60060 seconds = 16 h 41 min 0 s |
Is 60060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60060 ÷ 2 = 30030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60060 ÷ 3 = 20020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60060 ÷ 4 = 15015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60060 ÷ 5 = 12012) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60060 ÷ 6 = 10010) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60060 ÷ 7 = 8580) | 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 (60060 ÷ 10 = 6006) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60060 ÷ 11 = 5460) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60060 ÷ 12 = 5005) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60060 a prime number?
No. 60060 = × 3 × 5 × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 60060?
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 26, 28, 30, 33, 35, 39, 42, 44, 52, 55, 60, 65, 66, 70, 77, 78, 84, 91, 105, 110, 130, 132, 140, 143, 154, 156, 165, 182, 195, 210, 220, 231, 260, 273, 286, 308, 330, 364, 385, 390, 420, 429, 455, 462, 546, 572, 660, 715, 770, 780, 858, 910, 924, 1001, 1092, 1155, 1365, 1430, 1540, 1716, 1820, 2002, 2145, 2310, 2730, 2860, 3003, 4004, 4290, 4620, 5005, 5460, 6006, 8580, 10010, 12012, 15015, 20020, 30030, 60060.
What is 60060 in binary?
1110101010011100 (hexadecimal EA9C, octal 165234).
What is the square root of 60060?
About 245.0714, exactly 2√15015.
Is 60060 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60060?
60060 is a Harshad number: divisible by its digit sum 12.