The number 8380
8380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 419. Divisors (12): 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8380 is composite. Its prime factorisation is
- 3
The divisors add up to 17640; without 8380 itself that is 9260, so 8380 is abundant (9260 is more than 8380). Euler's totient φ(8380) = 3344 numbers up to 8380 share no factor with it.
- 4
The digits of 8380 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8380 = 2^{2} \times 5 \times 419 \]8380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17640 |
| Euler totient φ(n) | 3344 |
| Square | 70224400 |
| Cube | 588480472000 |
| Square root | 91.542340 (= 2√2095) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.38 × |
8380 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty |
| Binary (base 2) | 10000010111100 |
| Octal (base 8) | 20274 |
| Hexadecimal (base 16) | 20BC |
| Base 3 | 102111101 |
| As time | 8380 seconds = 2 h 19 min 40 s |
Is 8380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8380 ÷ 2 = 4190) | 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 (8380 ÷ 4 = 2095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8380 ÷ 5 = 1676) | 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 1) | 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 | No (remainder 4) | 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 (8380 ÷ 10 = 838) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 8380 a prime number?
No. 8380 = × 5 × 419, so it is divisible by 2.
What are the factors of 8380?
1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380.
What is 8380 in binary?
10000010111100 (hexadecimal 20BC, octal 20274).
What is the square root of 8380?
About 91.5423, exactly 2√2095.
Is 8380 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8380?
It is a composite number with 12 divisors.