The number 17444
17444 is a composite number with 18 divisors. Its prime factorisation is × × 89. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 89, 98, 178, 196, 356, 623, 1246, 2492, 4361 … 17444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17444 is composite. Its prime factorisation is
- 3
The divisors add up to 35910; without 17444 itself that is 18466, so 17444 is abundant (18466 is more than 17444). Euler's totient φ(17444) = 7392 numbers up to 17444 share no factor with it.
- 4
The digits of 17444 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17444 = 2^{2} \times 7^{2} \times 89 \]17444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 35910 |
| Euler totient φ(n) | 7392 |
| Square | 304293136 |
| Cube | 5308089464384 |
| Square root | 132.075736 (= 14√89) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7444 × |
17444 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and forty-four |
| Binary (base 2) | 100010000100100 |
| Octal (base 8) | 42044 |
| Hexadecimal (base 16) | 4424 |
| Base 3 | 212221002 |
| As time | 17444 seconds = 4 h 50 min 44 s |
Is 17444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17444 ÷ 2 = 8722) | 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 (17444 ÷ 4 = 4361) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17444 ÷ 7 = 2492) | 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 | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17444 a prime number?
No. 17444 = × × 89, so it is divisible by 2.
What are the factors of 17444?
1, 2, 4, 7, 14, 28, 49, 89, 98, 178, 196, 356, 623, 1246, 2492, 4361, 8722, 17444.
What is 17444 in binary?
100010000100100 (hexadecimal 4424, octal 42044).
What is the square root of 17444?
About 132.0757, exactly 14√89.
Is 17444 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17444?
It is a composite number with 18 divisors.