The number 41121
41121 is a composite number with 8 divisors. Its prime factorisation is × 1523. Divisors (8): 1, 3, 9, 27, 1523, 4569, 13707, 41121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41121: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
41121 is composite. Its prime factorisation is
- 3
The divisors add up to 60960; without 41121 itself that is 19839, so 41121 is deficient (19839 is less than 41121). Euler's totient φ(41121) = 27396 numbers up to 41121 share no factor with it.
- 4
The digits of 41121 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41121 = 3^{3} \times 1523 \]41121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60960 |
| Euler totient φ(n) | 27396 |
| Square | 1690936641 |
| Cube | 69533005614561 |
| Square root | 202.783135 (= 3√4569) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.1121 × |
41121 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and twenty-one |
| Binary (base 2) | 1010000010100001 |
| Octal (base 8) | 120241 |
| Hexadecimal (base 16) | A0A1 |
| Base 3 | 2002102000 |
| As time | 41121 seconds = 11 h 25 min 21 s |
Is 41121 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 (41121 ÷ 3 = 13707) | 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 1) | 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 | No (remainder 3) | 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 (41121 ÷ 9 = 4569) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 41121 a prime number?
No. 41121 = × 1523, so it is divisible by 3.
What are the factors of 41121?
1, 3, 9, 27, 1523, 4569, 13707, 41121.
What is 41121 in binary?
1010000010100001 (hexadecimal A0A1, octal 120241).
What is the square root of 41121?
About 202.7831, exactly 3√4569.
Is 41121 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41121?
41121 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.