The number 6480
6480 is a composite number with 50 divisors. Its prime factorisation is × × 5. Divisors (50): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27 … 6480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6480: a Harshad number: divisible by its digit sum 18.
- 2
6480 is composite. Its prime factorisation is
- 3
The divisors add up to 22506; without 6480 itself that is 16026, so 6480 is abundant (16026 is more than 6480). Euler's totient φ(6480) = 1728 numbers up to 6480 share no factor with it.
- 4
The digits of 6480 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6480 = 2^{4} \times 3^{4} \times 5 \]6480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 22506 |
| Euler totient φ(n) | 1728 |
| Square | 41990400 |
| Cube | 272097792000 |
| Square root | 80.498447 (= 36√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.48 × |
6480 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and eighty |
| Binary (base 2) | 1100101010000 |
| Octal (base 8) | 14520 |
| Hexadecimal (base 16) | 1950 |
| Base 3 | 22220000 |
| As time | 6480 seconds = 1 h 48 min 0 s |
Is 6480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6480 ÷ 2 = 3240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6480 ÷ 3 = 2160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6480 ÷ 4 = 1620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6480 ÷ 5 = 1296) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6480 ÷ 6 = 1080) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (6480 ÷ 8 = 810) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6480 ÷ 9 = 720) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6480 ÷ 10 = 648) | 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 | Yes (6480 ÷ 12 = 540) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6480 a prime number?
No. 6480 = × × 5, so it is divisible by 2.
What are the factors of 6480?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480.
What is 6480 in binary?
1100101010000 (hexadecimal 1950, octal 14520).
What is the square root of 6480?
About 80.4984, exactly 36√5.
Is 6480 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6480?
6480 is a Harshad number: divisible by its digit sum 18.