The number 6520
6520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 163. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6520 is composite. Its prime factorisation is
- 3
The divisors add up to 14760; without 6520 itself that is 8240, so 6520 is abundant (8240 is more than 6520). Euler's totient φ(6520) = 2592 numbers up to 6520 share no factor with it.
- 4
The digits of 6520 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6520 = 2^{3} \times 5 \times 163 \]6520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14760 |
| Euler totient φ(n) | 2592 |
| Square | 42510400 |
| Cube | 277167808000 |
| Square root | 80.746517 (= 2√1630) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.52 × |
6520 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and twenty |
| Binary (base 2) | 1100101111000 |
| Octal (base 8) | 14570 |
| Hexadecimal (base 16) | 1978 |
| Base 3 | 22221111 |
| As time | 6520 seconds = 1 h 48 min 40 s |
Is 6520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6520 ÷ 2 = 3260) | 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 (6520 ÷ 4 = 1630) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6520 ÷ 5 = 1304) | 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 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 (6520 ÷ 8 = 815) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6520 ÷ 10 = 652) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 6520 a prime number?
No. 6520 = × 5 × 163, so it is divisible by 2.
What are the factors of 6520?
1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520.
What is 6520 in binary?
1100101111000 (hexadecimal 1978, octal 14570).
What is the square root of 6520?
About 80.7465, exactly 2√1630.
Is 6520 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 6520?
It is a composite number with 16 divisors.