The number 8320
8320 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80 … 8320.
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How to work it out
- 1
What is special about 8320: a Harshad number: divisible by its digit sum 13.
- 2
8320 is composite. Its prime factorisation is
- 3
The divisors add up to 21420; without 8320 itself that is 13100, so 8320 is abundant (13100 is more than 8320). Euler's totient φ(8320) = 3072 numbers up to 8320 share no factor with it.
- 4
The digits of 8320 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8320 = 2^{7} \times 5 \times 13 \]8320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 21420 |
| Euler totient φ(n) | 3072 |
| Square | 69222400 |
| Cube | 575930368000 |
| Square root | 91.214034 (= 8√130) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.32 × |
8320 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and twenty |
| Binary (base 2) | 10000010000000 |
| Octal (base 8) | 20200 |
| Hexadecimal (base 16) | 2080 |
| Base 3 | 102102011 |
| As time | 8320 seconds = 2 h 18 min 40 s |
Is 8320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8320 ÷ 2 = 4160) | 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 (8320 ÷ 4 = 2080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8320 ÷ 5 = 1664) | 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 4) | 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 (8320 ÷ 8 = 1040) | 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 (8320 ÷ 10 = 832) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 8320 a prime number?
No. 8320 = × 5 × 13, so it is divisible by 2.
What are the factors of 8320?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320.
What is 8320 in binary?
10000010000000 (hexadecimal 2080, octal 20200).
What is the square root of 8320?
About 91.2140, exactly 8√130.
Is 8320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8320?
8320 is a Harshad number: divisible by its digit sum 13.