The number 9380
9380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 67. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335 … 9380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9380: a Harshad number: divisible by its digit sum 20.
- 2
9380 is composite. Its prime factorisation is
- 3
The divisors add up to 22848; without 9380 itself that is 13468, so 9380 is abundant (13468 is more than 9380). Euler's totient φ(9380) = 3168 numbers up to 9380 share no factor with it.
- 4
The digits of 9380 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9380 = 2^{2} \times 5 \times 7 \times 67 \]9380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22848 |
| Euler totient φ(n) | 3168 |
| Square | 87984400 |
| Cube | 825293672000 |
| Square root | 96.850400 (= 2√2345) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.38 × |
9380 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and eighty |
| Binary (base 2) | 10010010100100 |
| Octal (base 8) | 22244 |
| Hexadecimal (base 16) | 24A4 |
| Base 3 | 110212102 |
| As time | 9380 seconds = 2 h 36 min 20 s |
Is 9380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9380 ÷ 2 = 4690) | 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 | Yes (9380 ÷ 4 = 2345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9380 ÷ 5 = 1876) | 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 | Yes (9380 ÷ 7 = 1340) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9380 ÷ 10 = 938) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9380 a prime number?
No. 9380 = × 5 × 7 × 67, so it is divisible by 2.
What are the factors of 9380?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380.
What is 9380 in binary?
10010010100100 (hexadecimal 24A4, octal 22244).
What is the square root of 9380?
About 96.8504, exactly 2√2345.
Is 9380 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9380?
9380 is a Harshad number: divisible by its digit sum 20.