The number 6040
6040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 151. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6040: a Harshad number: divisible by its digit sum 10.
- 2
6040 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 6040 itself that is 7640, so 6040 is abundant (7640 is more than 6040). Euler's totient φ(6040) = 2400 numbers up to 6040 share no factor with it.
- 4
The digits of 6040 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6040 = 2^{3} \times 5 \times 151 \]6040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 2400 |
| Square | 36481600 |
| Cube | 220348864000 |
| Square root | 77.717437 (= 2√1510) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 6.04 × |
6040 in other forms
| Form | Value |
|---|---|
| In words | six thousand and forty |
| Binary (base 2) | 1011110011000 |
| Octal (base 8) | 13630 |
| Hexadecimal (base 16) | 1798 |
| Base 3 | 22021201 |
| As time | 6040 seconds = 1 h 40 min 40 s |
Is 6040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6040 ÷ 2 = 3020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6040 ÷ 4 = 1510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6040 ÷ 5 = 1208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (6040 ÷ 8 = 755) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6040 ÷ 10 = 604) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6040 a prime number?
No. 6040 = × 5 × 151, so it is divisible by 2.
What are the factors of 6040?
1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040.
What is 6040 in binary?
1011110011000 (hexadecimal 1798, octal 13630).
What is the square root of 6040?
About 77.7174, exactly 2√1510.
Is 6040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 6040?
6040 is a Harshad number: divisible by its digit sum 10.