The number 41920
41920 is a composite number with 28 divisors. Its prime factorisation is × 5 × 131. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 131, 160, 262, 320 … 41920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41920: a Harshad number: divisible by its digit sum 16.
- 2
41920 is composite. Its prime factorisation is
- 3
The divisors add up to 100584; without 41920 itself that is 58664, so 41920 is abundant (58664 is more than 41920). Euler's totient φ(41920) = 16640 numbers up to 41920 share no factor with it.
- 4
The digits of 41920 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41920 = 2^{6} \times 5 \times 131 \]41920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 100584 |
| Euler totient φ(n) | 16640 |
| Square | 1757286400 |
| Cube | 73665445888000 |
| Square root | 204.743742 (= 8√655) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.192 × |
41920 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and twenty |
| Binary (base 2) | 1010001111000000 |
| Octal (base 8) | 121700 |
| Hexadecimal (base 16) | A3C0 |
| Base 3 | 2010111121 |
| As time | 41920 seconds = 11 h 38 min 40 s |
Is 41920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41920 ÷ 2 = 20960) | 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 (41920 ÷ 4 = 10480) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41920 ÷ 5 = 8384) | 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 | Yes (41920 ÷ 8 = 5240) | 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 | Yes (41920 ÷ 10 = 4192) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 41920 a prime number?
No. 41920 = × 5 × 131, so it is divisible by 2.
What are the factors of 41920?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 131, 160, 262, 320, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 20960, 41920.
What is 41920 in binary?
1010001111000000 (hexadecimal A3C0, octal 121700).
What is the square root of 41920?
About 204.7437, exactly 8√655.
Is 41920 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41920?
41920 is a Harshad number: divisible by its digit sum 16.