The number 9444
9444 is a composite number with 12 divisors. Its prime factorisation is × 3 × 787. Divisors (12): 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9444 is composite. Its prime factorisation is
- 3
The divisors add up to 22064; without 9444 itself that is 12620, so 9444 is abundant (12620 is more than 9444). Euler's totient φ(9444) = 3144 numbers up to 9444 share no factor with it.
- 4
The digits of 9444 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9444 = 2^{2} \times 3 \times 787 \]9444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22064 |
| Euler totient φ(n) | 3144 |
| Square | 89189136 |
| Cube | 842302200384 |
| Square root | 97.180245 (= 2√2361) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.444 × |
9444 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and forty-four |
| Binary (base 2) | 10010011100100 |
| Octal (base 8) | 22344 |
| Hexadecimal (base 16) | 24E4 |
| Base 3 | 110221210 |
| As time | 9444 seconds = 2 h 37 min 24 s |
Is 9444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9444 ÷ 2 = 4722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9444 ÷ 3 = 3148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9444 ÷ 4 = 2361) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9444 ÷ 6 = 1574) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (9444 ÷ 12 = 787) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9444 a prime number?
No. 9444 = × 3 × 787, so it is divisible by 2.
What are the factors of 9444?
1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444.
What is 9444 in binary?
10010011100100 (hexadecimal 24E4, octal 22344).
What is the square root of 9444?
About 97.1802, exactly 2√2361.
Is 9444 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9444?
9444 is a happy number: repeatedly adding the squares of its digits reaches 1.