The number 6444
6444 is a composite number with 18 divisors. Its prime factorisation is × × 179. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148 … 6444.
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How to work it out
- 1
What is special about 6444: a Harshad number: divisible by its digit sum 18.
- 2
6444 is composite. Its prime factorisation is
- 3
The divisors add up to 16380; without 6444 itself that is 9936, so 6444 is abundant (9936 is more than 6444). Euler's totient φ(6444) = 2136 numbers up to 6444 share no factor with it.
- 4
The digits of 6444 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6444 = 2^{2} \times 3^{2} \times 179 \]6444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 16380 |
| Euler totient φ(n) | 2136 |
| Square | 41525136 |
| Cube | 267587976384 |
| Square root | 80.274529 (= 6√179) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.444 × |
6444 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and forty-four |
| Binary (base 2) | 1100100101100 |
| Octal (base 8) | 14454 |
| Hexadecimal (base 16) | 192C |
| Base 3 | 22211200 |
| As time | 6444 seconds = 1 h 47 min 24 s |
Is 6444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6444 ÷ 2 = 3222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6444 ÷ 3 = 2148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6444 ÷ 4 = 1611) | 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 (6444 ÷ 6 = 1074) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (6444 ÷ 9 = 716) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6444 ÷ 12 = 537) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6444 a prime number?
No. 6444 = × × 179, so it is divisible by 2.
What are the factors of 6444?
1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444.
What is 6444 in binary?
1100100101100 (hexadecimal 192C, octal 14454).
What is the square root of 6444?
About 80.2745, exactly 6√179.
Is 6444 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6444?
6444 is a Harshad number: divisible by its digit sum 18.