The number 41164
41164 is a composite number with 12 divisors. Its prime factorisation is × 41 × 251. Divisors (12): 1, 2, 4, 41, 82, 164, 251, 502, 1004, 10291, 20582, 41164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41164: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41164 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 41164 itself that is 32924, so 41164 is deficient (32924 is less than 41164). Euler's totient φ(41164) = 20000 numbers up to 41164 share no factor with it.
- 4
The digits of 41164 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41164 = 2^{2} \times 41 \times 251 \]41164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 20000 |
| Square | 1694474896 |
| Cube | 69751364618944 |
| Square root | 202.889132 (= 2√10291) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.1164 × |
41164 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and sixty-four |
| Binary (base 2) | 1010000011001100 |
| Octal (base 8) | 120314 |
| Hexadecimal (base 16) | A0CC |
| Base 3 | 2002110121 |
| As time | 41164 seconds = 11 h 26 min 4 s |
Is 41164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41164 ÷ 2 = 20582) | 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 (41164 ÷ 4 = 10291) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41164 a prime number?
No. 41164 = × 41 × 251, so it is divisible by 2.
What are the factors of 41164?
1, 2, 4, 41, 82, 164, 251, 502, 1004, 10291, 20582, 41164.
What is 41164 in binary?
1010000011001100 (hexadecimal A0CC, octal 120314).
What is the square root of 41164?
About 202.8891, exactly 2√10291.
Is 41164 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41164?
41164 is a happy number: repeatedly adding the squares of its digits reaches 1.