The number 9378
9378 is a composite number with 12 divisors. Its prime factorisation is 2 × × 521. Divisors (12): 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9378: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9378 is composite. Its prime factorisation is
- 3
The divisors add up to 20358; without 9378 itself that is 10980, so 9378 is abundant (10980 is more than 9378). Euler's totient φ(9378) = 3120 numbers up to 9378 share no factor with it.
- 4
The digits of 9378 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9378 = 2 \times 3^{2} \times 521 \]9378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20358 |
| Euler totient φ(n) | 3120 |
| Square | 87946884 |
| Cube | 824765878152 |
| Square root | 96.840074 (= 3√1042) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.378 × |
9378 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and seventy-eight |
| Binary (base 2) | 10010010100010 |
| Octal (base 8) | 22242 |
| Hexadecimal (base 16) | 24A2 |
| Base 3 | 110212100 |
| As time | 9378 seconds = 2 h 36 min 18 s |
Is 9378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9378 ÷ 2 = 4689) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9378 ÷ 3 = 3126) | 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 | Yes (9378 ÷ 6 = 1563) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (9378 ÷ 9 = 1042) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9378 a prime number?
No. 9378 = 2 × × 521, so it is divisible by 2.
What are the factors of 9378?
1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378.
What is 9378 in binary?
10010010100010 (hexadecimal 24A2, octal 22242).
What is the square root of 9378?
About 96.8401, exactly 3√1042.
Is 9378 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9378?
9378 is a happy number: repeatedly adding the squares of its digits reaches 1.