The number 6240
6240 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30 … 6240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6240: a Harshad number: divisible by its digit sum 12.
- 2
6240 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 6240 itself that is 14928, so 6240 is abundant (14928 is more than 6240). Euler's totient φ(6240) = 1536 numbers up to 6240 share no factor with it.
- 4
The digits of 6240 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6240 = 2^{5} \times 3 \times 5 \times 13 \]6240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 1536 |
| Square | 38937600 |
| Cube | 242970624000 |
| Square root | 78.993671 (= 4√390) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 6.24 × |
6240 in other forms
| Form | Value |
|---|---|
| In words | six thousand two hundred and forty |
| Binary (base 2) | 1100001100000 |
| Octal (base 8) | 14140 |
| Hexadecimal (base 16) | 1860 |
| Base 3 | 22120010 |
| As time | 6240 seconds = 1 h 44 min 0 s |
Is 6240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6240 ÷ 2 = 3120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6240 ÷ 3 = 2080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6240 ÷ 4 = 1560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6240 ÷ 5 = 1248) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6240 ÷ 6 = 1040) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (6240 ÷ 8 = 780) | 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 (6240 ÷ 10 = 624) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6240 ÷ 12 = 520) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6240 a prime number?
No. 6240 = × 3 × 5 × 13, so it is divisible by 2.
What are the factors of 6240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240.
What is 6240 in binary?
1100001100000 (hexadecimal 1860, octal 14140).
What is the square root of 6240?
About 78.9937, exactly 4√390.
Is 6240 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6240?
6240 is a Harshad number: divisible by its digit sum 12.