The number 41672
41672 is a composite number with 8 divisors. Its prime factorisation is × 5209. Divisors (8): 1, 2, 4, 8, 5209, 10418, 20836, 41672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41672 is composite. Its prime factorisation is
- 3
The divisors add up to 78150; without 41672 itself that is 36478, so 41672 is deficient (36478 is less than 41672). Euler's totient φ(41672) = 20832 numbers up to 41672 share no factor with it.
- 4
The digits of 41672 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41672 = 2^{3} \times 5209 \]41672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78150 |
| Euler totient φ(n) | 20832 |
| Square | 1736555584 |
| Cube | 72365744296448 |
| Square root | 204.137209 (= 2√10418) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.1672 × |
41672 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and seventy-two |
| Binary (base 2) | 1010001011001000 |
| Octal (base 8) | 121310 |
| Hexadecimal (base 16) | A2C8 |
| Base 3 | 2010011102 |
| As time | 41672 seconds = 11 h 34 min 32 s |
Is 41672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41672 ÷ 2 = 20836) | 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 (41672 ÷ 4 = 10418) | 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 1) | 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 (41672 ÷ 8 = 5209) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 41672 a prime number?
No. 41672 = × 5209, so it is divisible by 2.
What are the factors of 41672?
1, 2, 4, 8, 5209, 10418, 20836, 41672.
What is 41672 in binary?
1010001011001000 (hexadecimal A2C8, octal 121310).
What is the square root of 41672?
About 204.1372, exactly 2√10418.
Is 41672 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41672?
It is a composite number with 8 divisors.