The number 41272
41272 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 67. Divisors (32): 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 67, 77, 88, 134, 154 … 41272.
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How to work it out
- 1
41272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41272 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 41272 itself that is 56648, so 41272 is abundant (56648 is more than 41272). Euler's totient φ(41272) = 15840 numbers up to 41272 share no factor with it.
- 4
The digits of 41272 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41272 = 2^{3} \times 7 \times 11 \times 67 \]41272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 15840 |
| Square | 1703377984 |
| Cube | 70301816155648 |
| Square root | 203.155113 (= 2√10318) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1272 × |
41272 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and seventy-two |
| Binary (base 2) | 1010000100111000 |
| Octal (base 8) | 120470 |
| Hexadecimal (base 16) | A138 |
| Base 3 | 2002121121 |
| As time | 41272 seconds = 11 h 27 min 52 s |
Is 41272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41272 ÷ 2 = 20636) | 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 (41272 ÷ 4 = 10318) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41272 ÷ 7 = 5896) | 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 (41272 ÷ 8 = 5159) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (41272 ÷ 11 = 3752) | 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 41272 a prime number?
No. 41272 = × 7 × 11 × 67, so it is divisible by 2.
What are the factors of 41272?
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 67, 77, 88, 134, 154, 268, 308, 469, 536, 616, 737, 938, 1474, 1876, 2948, 3752, 5159, 5896, 10318, 20636, 41272.
What is 41272 in binary?
1010000100111000 (hexadecimal A138, octal 120470).
What is the square root of 41272?
About 203.1551, exactly 2√10318.
Is 41272 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41272?
It is a composite number with 32 divisors.