The number 43172
43172 is a composite number with 12 divisors. Its prime factorisation is × 43 × 251. Divisors (12): 1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586, 43172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43172 is composite. Its prime factorisation is
- 3
The divisors add up to 77616; without 43172 itself that is 34444, so 43172 is deficient (34444 is less than 43172). Euler's totient φ(43172) = 21000 numbers up to 43172 share no factor with it.
- 4
The digits of 43172 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43172 = 2^{2} \times 43 \times 251 \]43172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77616 |
| Euler totient φ(n) | 21000 |
| Square | 1863821584 |
| Cube | 80464905424448 |
| Square root | 207.778728 (= 2√10793) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3172 × |
43172 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and seventy-two |
| Binary (base 2) | 1010100010100100 |
| Octal (base 8) | 124244 |
| Hexadecimal (base 16) | A8A4 |
| Base 3 | 2012012222 |
| As time | 43172 seconds = 11 h 59 min 32 s |
Is 43172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43172 ÷ 2 = 21586) | 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 (43172 ÷ 4 = 10793) | 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 3) | 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 8) | 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 43172 a prime number?
No. 43172 = × 43 × 251, so it is divisible by 2.
What are the factors of 43172?
1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586, 43172.
What is 43172 in binary?
1010100010100100 (hexadecimal A8A4, octal 124244).
What is the square root of 43172?
About 207.7787, exactly 2√10793.
Is 43172 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43172?
43172 is a happy number: repeatedly adding the squares of its digits reaches 1.