The number 8378
8378 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 71. Divisors (8): 1, 2, 59, 71, 118, 142, 4189, 8378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8378 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 8378 itself that is 4582, so 8378 is deficient (4582 is less than 8378). Euler's totient φ(8378) = 4060 numbers up to 8378 share no factor with it.
- 4
The digits of 8378 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8378 = 2 \times 59 \times 71 \]
8378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 4060 |
| Square | 70190884 |
| Cube | 588059226152 |
| Square root | 91.531415 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.378 × |
8378 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and seventy-eight |
| Binary (base 2) | 10000010111010 |
| Octal (base 8) | 20272 |
| Hexadecimal (base 16) | 20BA |
| Base 3 | 102111022 |
| As time | 8378 seconds = 2 h 19 min 38 s |
Is 8378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8378 ÷ 2 = 4189) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8378 a prime number?
No. 8378 = 2 × 59 × 71, so it is divisible by 2.
What are the factors of 8378?
1, 2, 59, 71, 118, 142, 4189, 8378.
What is 8378 in binary?
10000010111010 (hexadecimal 20BA, octal 20272).
What is the square root of 8378?
About 91.5314.
Is 8378 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8378?
It is a composite number with 8 divisors.