The number 41220
41220 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 229. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 41220.
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How to work it out
- 1
What is special about 41220: a Harshad number: divisible by its digit sum 9.
- 2
41220 is composite. Its prime factorisation is
- 3
The divisors add up to 125580; without 41220 itself that is 84360, so 41220 is abundant (84360 is more than 41220). Euler's totient φ(41220) = 10944 numbers up to 41220 share no factor with it.
- 4
The digits of 41220 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41220 = 2^{2} \times 3^{2} \times 5 \times 229 \]41220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 125580 |
| Euler totient φ(n) | 10944 |
| Square | 1699088400 |
| Cube | 70036423848000 |
| Square root | 203.027092 (= 6√1145) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.122 × |
41220 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and twenty |
| Binary (base 2) | 1010000100000100 |
| Octal (base 8) | 120404 |
| Hexadecimal (base 16) | A104 |
| Base 3 | 2002112200 |
| As time | 41220 seconds = 11 h 27 min 0 s |
Is 41220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41220 ÷ 2 = 20610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41220 ÷ 3 = 13740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41220 ÷ 4 = 10305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41220 ÷ 5 = 8244) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41220 ÷ 6 = 6870) | 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 | Yes (41220 ÷ 9 = 4580) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41220 ÷ 10 = 4122) | 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 | Yes (41220 ÷ 12 = 3435) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41220 a prime number?
No. 41220 = × × 5 × 229, so it is divisible by 2.
What are the factors of 41220?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 229, 458, 687, 916, 1145, 1374, 2061, 2290, 2748, 3435, 4122, 4580, 6870, 8244, 10305, 13740, 20610, 41220.
What is 41220 in binary?
1010000100000100 (hexadecimal A104, octal 120404).
What is the square root of 41220?
About 203.0271, exactly 6√1145.
Is 41220 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41220?
41220 is a Harshad number: divisible by its digit sum 9.