The number 4378
4378 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 199. Divisors (8): 1, 2, 11, 22, 199, 398, 2189, 4378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4378: a Harshad number: divisible by its digit sum 22.
- 2
4378 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 4378 itself that is 2822, so 4378 is deficient (2822 is less than 4378). Euler's totient φ(4378) = 1980 numbers up to 4378 share no factor with it.
- 4
The digits of 4378 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4378 = 2 \times 11 \times 199 \]
4378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 1980 |
| Square | 19166884 |
| Cube | 83912618152 |
| Square root | 66.166457 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.378 × |
4378 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and seventy-eight |
| Binary (base 2) | 1000100011010 |
| Octal (base 8) | 10432 |
| Hexadecimal (base 16) | 111A |
| Base 3 | 20000011 |
| As time | 4378 seconds = 1 h 12 min 58 s |
Is 4378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4378 ÷ 2 = 2189) | 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 | 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 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 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4378 ÷ 11 = 398) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4378 a prime number?
No. 4378 = 2 × 11 × 199, so it is divisible by 2.
What are the factors of 4378?
1, 2, 11, 22, 199, 398, 2189, 4378.
What is 4378 in binary?
1000100011010 (hexadecimal 111A, octal 10432).
What is the square root of 4378?
About 66.1665.
Is 4378 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4378?
4378 is a Harshad number: divisible by its digit sum 22.