The number 41520
41520 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 173. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 41520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41520: a Harshad number: divisible by its digit sum 12.
- 2
41520 is composite. Its prime factorisation is
- 3
The divisors add up to 129456; without 41520 itself that is 87936, so 41520 is abundant (87936 is more than 41520). Euler's totient φ(41520) = 11008 numbers up to 41520 share no factor with it.
- 4
The digits of 41520 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41520 = 2^{4} \times 3 \times 5 \times 173 \]41520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 129456 |
| Euler totient φ(n) | 11008 |
| Square | 1723910400 |
| Cube | 71576759808000 |
| Square root | 203.764570 (= 4√2595) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.152 × |
41520 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and twenty |
| Binary (base 2) | 1010001000110000 |
| Octal (base 8) | 121060 |
| Hexadecimal (base 16) | A230 |
| Base 3 | 2002221210 |
| As time | 41520 seconds = 11 h 32 min 0 s |
Is 41520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41520 ÷ 2 = 20760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41520 ÷ 3 = 13840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41520 ÷ 4 = 10380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41520 ÷ 5 = 8304) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41520 ÷ 6 = 6920) | 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 | Yes (41520 ÷ 8 = 5190) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41520 ÷ 10 = 4152) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41520 ÷ 12 = 3460) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41520 a prime number?
No. 41520 = × 3 × 5 × 173, so it is divisible by 2.
What are the factors of 41520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 173, 240, 346, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 2768, 3460, 4152, 5190, 6920, 8304, 10380, 13840, 20760, 41520.
What is 41520 in binary?
1010001000110000 (hexadecimal A230, octal 121060).
What is the square root of 41520?
About 203.7646, exactly 4√2595.
Is 41520 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 41520?
41520 is a Harshad number: divisible by its digit sum 12.