The number 41349
41349 is a binary palindrome (1010000110000101). Its prime factorisation is 3 × 7 × 11 × 179. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 179, 231, 537, 1253, 1969, 3759, 5907, 13783, 41349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41349: a binary palindrome (1010000110000101); a Harshad number: divisible by its digit sum 21.
- 2
41349 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 41349 itself that is 27771, so 41349 is deficient (27771 is less than 41349). Euler's totient φ(41349) = 21360 numbers up to 41349 share no factor with it.
- 4
The digits of 41349 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41349 = 3 \times 7 \times 11 \times 179 \]
41349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 21360 |
| Square | 1709739801 |
| Cube | 70696031031549 |
| Square root | 203.344535 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1349 × |
41349 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and forty-nine |
| Binary (base 2) | 1010000110000101 |
| Octal (base 8) | 120605 |
| Hexadecimal (base 16) | A185 |
| Base 3 | 2002201110 |
| As time | 41349 seconds = 11 h 29 min 9 s |
Is 41349 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 (41349 ÷ 3 = 13783) | 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 (41349 ÷ 7 = 5907) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (41349 ÷ 11 = 3759) | 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 41349 a prime number?
No. 41349 = 3 × 7 × 11 × 179, so it is divisible by 3.
What are the factors of 41349?
1, 3, 7, 11, 21, 33, 77, 179, 231, 537, 1253, 1969, 3759, 5907, 13783, 41349.
What is 41349 in binary?
1010000110000101 (hexadecimal A185, octal 120605).
What is the square root of 41349?
About 203.3445.
Is 41349 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 41349?
41349 is a binary palindrome (1010000110000101); a Harshad number: divisible by its digit sum 21.