The number 17344
17344 is a composite number with 14 divisors. Its prime factorisation is × 271. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 271, 542, 1084, 2168, 4336, 8672, 17344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17344: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17344 is composite. Its prime factorisation is
- 3
The divisors add up to 34544; without 17344 itself that is 17200, so 17344 is deficient (17200 is less than 17344). Euler's totient φ(17344) = 8640 numbers up to 17344 share no factor with it.
- 4
The digits of 17344 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17344 = 2^{6} \times 271 \]17344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 34544 |
| Euler totient φ(n) | 8640 |
| Square | 300814336 |
| Cube | 5217323843584 |
| Square root | 131.696621 (= 8√271) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7344 × |
17344 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and forty-four |
| Binary (base 2) | 100001111000000 |
| Octal (base 8) | 41700 |
| Hexadecimal (base 16) | 43C0 |
| Base 3 | 212210101 |
| As time | 17344 seconds = 4 h 49 min 4 s |
Is 17344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17344 ÷ 2 = 8672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17344 ÷ 4 = 4336) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (17344 ÷ 8 = 2168) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17344 a prime number?
No. 17344 = × 271, so it is divisible by 2.
What are the factors of 17344?
1, 2, 4, 8, 16, 32, 64, 271, 542, 1084, 2168, 4336, 8672, 17344.
What is 17344 in binary?
100001111000000 (hexadecimal 43C0, octal 41700).
What is the square root of 17344?
About 131.6966, exactly 8√271.
Is 17344 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17344?
17344 is a happy number: repeatedly adding the squares of its digits reaches 1.