The number 6120
6120 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 17. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30 … 6120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6120: a Harshad number: divisible by its digit sum 9.
- 2
6120 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 6120 itself that is 14940, so 6120 is abundant (14940 is more than 6120). Euler's totient φ(6120) = 1536 numbers up to 6120 share no factor with it.
- 4
The digits of 6120 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6120 = 2^{3} \times 3^{2} \times 5 \times 17 \]6120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 1536 |
| Square | 37454400 |
| Cube | 229220928000 |
| Square root | 78.230429 (= 6√170) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.12 × |
6120 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and twenty |
| Binary (base 2) | 1011111101000 |
| Octal (base 8) | 13750 |
| Hexadecimal (base 16) | 17E8 |
| Base 3 | 22101200 |
| As time | 6120 seconds = 1 h 42 min 0 s |
Is 6120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6120 ÷ 2 = 3060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6120 ÷ 3 = 2040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6120 ÷ 4 = 1530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6120 ÷ 5 = 1224) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6120 ÷ 6 = 1020) | 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 | Yes (6120 ÷ 8 = 765) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6120 ÷ 9 = 680) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6120 ÷ 10 = 612) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6120 ÷ 12 = 510) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6120 a prime number?
No. 6120 = × × 5 × 17, so it is divisible by 2.
What are the factors of 6120?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120.
What is 6120 in binary?
1011111101000 (hexadecimal 17E8, octal 13750).
What is the square root of 6120?
About 78.2304, exactly 6√170.
Is 6120 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 6120?
6120 is a Harshad number: divisible by its digit sum 9.