The number 6090
6090 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 29. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70 … 6090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6090: a Harshad number: divisible by its digit sum 15.
- 2
6090 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 6090 itself that is 11190, so 6090 is abundant (11190 is more than 6090). Euler's totient φ(6090) = 1344 numbers up to 6090 share no factor with it.
- 4
The digits of 6090 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6090 = 2 \times 3 \times 5 \times 7 \times 29 \]
6090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 1344 |
| Square | 37088100 |
| Cube | 225866529000 |
| Square root | 78.038452 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.09 × |
6090 in other forms
| Form | Value |
|---|---|
| In words | six thousand and ninety |
| Binary (base 2) | 1011111001010 |
| Octal (base 8) | 13712 |
| Hexadecimal (base 16) | 17CA |
| Base 3 | 22100120 |
| As time | 6090 seconds = 1 h 41 min 30 s |
Is 6090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6090 ÷ 2 = 3045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6090 ÷ 3 = 2030) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6090 ÷ 5 = 1218) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6090 ÷ 6 = 1015) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6090 ÷ 7 = 870) | 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 2) | 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 (6090 ÷ 10 = 609) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6090 a prime number?
No. 6090 = 2 × 3 × 5 × 7 × 29, so it is divisible by 2.
What are the factors of 6090?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090.
What is 6090 in binary?
1011111001010 (hexadecimal 17CA, octal 13712).
What is the square root of 6090?
About 78.0385.
Is 6090 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6090?
6090 is a Harshad number: divisible by its digit sum 15.