The number 41172
41172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 73. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 73, 94, 141, 146, 188, 219, 282, 292, 438 … 41172.
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How to work it out
- 1
41172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41172 is composite. Its prime factorisation is
- 3
The divisors add up to 99456; without 41172 itself that is 58284, so 41172 is abundant (58284 is more than 41172). Euler's totient φ(41172) = 13248 numbers up to 41172 share no factor with it.
- 4
The digits of 41172 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41172 = 2^{2} \times 3 \times 47 \times 73 \]41172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99456 |
| Euler totient φ(n) | 13248 |
| Square | 1695133584 |
| Cube | 69792039920448 |
| Square root | 202.908847 (= 2√10293) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1172 × |
41172 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and seventy-two |
| Binary (base 2) | 1010000011010100 |
| Octal (base 8) | 120324 |
| Hexadecimal (base 16) | A0D4 |
| Base 3 | 2002110220 |
| As time | 41172 seconds = 11 h 26 min 12 s |
Is 41172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41172 ÷ 2 = 20586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41172 ÷ 3 = 13724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41172 ÷ 4 = 10293) | 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 | Yes (41172 ÷ 6 = 6862) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41172 ÷ 12 = 3431) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41172 a prime number?
No. 41172 = × 3 × 47 × 73, so it is divisible by 2.
What are the factors of 41172?
1, 2, 3, 4, 6, 12, 47, 73, 94, 141, 146, 188, 219, 282, 292, 438, 564, 876, 3431, 6862, 10293, 13724, 20586, 41172.
What is 41172 in binary?
1010000011010100 (hexadecimal A0D4, octal 120324).
What is the square root of 41172?
About 202.9088, exactly 2√10293.
Is 41172 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41172?
It is a composite number with 24 divisors.