The number 41769
41769 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 17. Divisors (32): 1, 3, 7, 9, 13, 17, 21, 27, 39, 51, 63, 91, 117, 119, 153, 189 … 41769.
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How to work it out
- 1
What is special about 41769: a Harshad number: divisible by its digit sum 27.
- 2
41769 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 41769 itself that is 38871, so 41769 is deficient (38871 is less than 41769). Euler's totient φ(41769) = 20736 numbers up to 41769 share no factor with it.
- 4
The digits of 41769 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41769 = 3^{3} \times 7 \times 13 \times 17 \]41769 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 20736 |
| Square | 1744649361 |
| Cube | 72872259159609 |
| Square root | 204.374656 (= 3√4641) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1769 × |
41769 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and sixty-nine |
| Binary (base 2) | 1010001100101001 |
| Octal (base 8) | 121451 |
| Hexadecimal (base 16) | A329 |
| Base 3 | 2010022000 |
| As time | 41769 seconds = 11 h 36 min 9 s |
Is 41769 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41769 ÷ 3 = 13923) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41769 ÷ 7 = 5967) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41769 ÷ 9 = 4641) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41769 a prime number?
No. 41769 = × 7 × 13 × 17, so it is divisible by 3.
What are the factors of 41769?
1, 3, 7, 9, 13, 17, 21, 27, 39, 51, 63, 91, 117, 119, 153, 189, 221, 273, 351, 357, 459, 663, 819, 1071, 1547, 1989, 2457, 3213, 4641, 5967, 13923, 41769.
What is 41769 in binary?
1010001100101001 (hexadecimal A329, octal 121451).
What is the square root of 41769?
About 204.3747, exactly 3√4641.
Is 41769 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 41769?
41769 is a Harshad number: divisible by its digit sum 27.