The number 16172
16172 is a composite number with 12 divisors. Its prime factorisation is × 13 × 311. Divisors (12): 1, 2, 4, 13, 26, 52, 311, 622, 1244, 4043, 8086, 16172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16172 is composite. Its prime factorisation is
- 3
The divisors add up to 30576; without 16172 itself that is 14404, so 16172 is deficient (14404 is less than 16172). Euler's totient φ(16172) = 7440 numbers up to 16172 share no factor with it.
- 4
The digits of 16172 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16172 = 2^{2} \times 13 \times 311 \]16172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30576 |
| Euler totient φ(n) | 7440 |
| Square | 261533584 |
| Cube | 4229521120448 |
| Square root | 127.169179 (= 2√4043) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.6172 × |
16172 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and seventy-two |
| Binary (base 2) | 11111100101100 |
| Octal (base 8) | 37454 |
| Hexadecimal (base 16) | 3F2C |
| Base 3 | 211011222 |
| As time | 16172 seconds = 4 h 29 min 32 s |
Is 16172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16172 ÷ 2 = 8086) | 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 (16172 ÷ 4 = 4043) | 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 2) | 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 8) | 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 2) | 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 16172 a prime number?
No. 16172 = × 13 × 311, so it is divisible by 2.
What are the factors of 16172?
1, 2, 4, 13, 26, 52, 311, 622, 1244, 4043, 8086, 16172.
What is 16172 in binary?
11111100101100 (hexadecimal 3F2C, octal 37454).
What is the square root of 16172?
About 127.1692, exactly 2√4043.
Is 16172 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16172?
16172 is a happy number: repeatedly adding the squares of its digits reaches 1.