The number 41921
41921 is a composite number with 8 divisors. Its prime factorisation is 11 × 37 × 103. Divisors (8): 1, 11, 37, 103, 407, 1133, 3811, 41921.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41921: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41921 is composite. Its prime factorisation is
- 3
The divisors add up to 47424; without 41921 itself that is 5503, so 41921 is deficient (5503 is less than 41921). Euler's totient φ(41921) = 36720 numbers up to 41921 share no factor with it.
- 4
The digits of 41921 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41921 = 11 \times 37 \times 103 \]
41921 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47424 |
| Euler totient φ(n) | 36720 |
| Square | 1757370241 |
| Cube | 73670717872961 |
| Square root | 204.746184 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1921 × |
41921 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and twenty-one |
| Binary (base 2) | 1010001111000001 |
| Octal (base 8) | 121701 |
| Hexadecimal (base 16) | A3C1 |
| Base 3 | 2010111122 |
| As time | 41921 seconds = 11 h 38 min 41 s |
Is 41921 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 8) | 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 | Yes (41921 ÷ 11 = 3811) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41921 a prime number?
No. 41921 = 11 × 37 × 103, so it is divisible by 11.
What are the factors of 41921?
1, 11, 37, 103, 407, 1133, 3811, 41921.
What is 41921 in binary?
1010001111000001 (hexadecimal A3C1, octal 121701).
What is the square root of 41921?
About 204.7462.
Is 41921 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41921?
41921 is a happy number: repeatedly adding the squares of its digits reaches 1.