The number 17672
17672 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 47, 94, 188, 376, 2209, 4418, 8836, 17672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17672 is composite. Its prime factorisation is
- 3
The divisors add up to 33855; without 17672 itself that is 16183, so 17672 is deficient (16183 is less than 17672). Euler's totient φ(17672) = 8648 numbers up to 17672 share no factor with it.
- 4
The digits of 17672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17672 = 2^{3} \times 47^{2} \]17672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33855 |
| Euler totient φ(n) | 8648 |
| Square | 312299584 |
| Cube | 5518958248448 |
| Square root | 132.936075 (= 94√2) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7672 × |
17672 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand six hundred and seventy-two |
| Binary (base 2) | 100010100001000 |
| Octal (base 8) | 42410 |
| Hexadecimal (base 16) | 4508 |
| Base 3 | 220020112 |
| As time | 17672 seconds = 4 h 54 min 32 s |
Is 17672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17672 ÷ 2 = 8836) | 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 (17672 ÷ 4 = 4418) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | 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 | Yes (17672 ÷ 8 = 2209) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17672 a prime number?
No. 17672 = × , so it is divisible by 2.
What are the factors of 17672?
1, 2, 4, 8, 47, 94, 188, 376, 2209, 4418, 8836, 17672.
What is 17672 in binary?
100010100001000 (hexadecimal 4508, octal 42410).
What is the square root of 17672?
About 132.9361, exactly 94√2.
Is 17672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 17672?
17672 is a happy number: repeatedly adding the squares of its digits reaches 1.