The number 9450
9450 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 7. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35 … 9450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9450: a Harshad number: divisible by its digit sum 18.
- 2
9450 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 9450 itself that is 20310, so 9450 is abundant (20310 is more than 9450). Euler's totient φ(9450) = 2160 numbers up to 9450 share no factor with it.
- 4
The digits of 9450 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9450 = 2 \times 3^{3} \times 5^{2} \times 7 \]9450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 2160 |
| Square | 89302500 |
| Cube | 843908625000 |
| Square root | 97.211110 (= 15√42) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.45 × |
9450 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and fifty |
| Binary (base 2) | 10010011101010 |
| Octal (base 8) | 22352 |
| Hexadecimal (base 16) | 24EA |
| Base 3 | 110222000 |
| As time | 9450 seconds = 2 h 37 min 30 s |
Is 9450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9450 ÷ 2 = 4725) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9450 ÷ 3 = 3150) | 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 | Yes (9450 ÷ 5 = 1890) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9450 ÷ 6 = 1575) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9450 ÷ 7 = 1350) | 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 (9450 ÷ 9 = 1050) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9450 ÷ 10 = 945) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 9450 a prime number?
No. 9450 = 2 × × × 7, so it is divisible by 2.
What are the factors of 9450?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
What is 9450 in binary?
10010011101010 (hexadecimal 24EA, octal 22352).
What is the square root of 9450?
About 97.2111, exactly 15√42.
Is 9450 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9450?
9450 is a Harshad number: divisible by its digit sum 18.