The number 41472
41472 is a composite number with 50 divisors. Its prime factorisation is × . Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 41472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41472: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
41472 is composite. Its prime factorisation is
- 3
The divisors add up to 123783; without 41472 itself that is 82311, so 41472 is abundant (82311 is more than 41472). Euler's totient φ(41472) = 13824 numbers up to 41472 share no factor with it.
- 4
The digits of 41472 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41472 = 2^{9} \times 3^{4} \]41472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 123783 |
| Euler totient φ(n) | 13824 |
| Square | 1719926784 |
| Cube | 71328803586048 |
| Square root | 203.646753 (= 144√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1472 × |
41472 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and seventy-two |
| Binary (base 2) | 1010001000000000 |
| Octal (base 8) | 121000 |
| Hexadecimal (base 16) | A200 |
| Base 3 | 2002220000 |
| As time | 41472 seconds = 11 h 31 min 12 s |
Is 41472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41472 ÷ 2 = 20736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41472 ÷ 3 = 13824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41472 ÷ 4 = 10368) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41472 ÷ 6 = 6912) | 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 (41472 ÷ 8 = 5184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41472 ÷ 9 = 4608) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41472 ÷ 12 = 3456) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41472 a prime number?
No. 41472 = × , so it is divisible by 2.
What are the factors of 41472?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 512, 576, 648, 768, 864, 1152, 1296, 1536, 1728, 2304, 2592, 3456, 4608, 5184, 6912, 10368, 13824, 20736, 41472.
What is 41472 in binary?
1010001000000000 (hexadecimal A200, octal 121000).
What is the square root of 41472?
About 203.6468, exactly 144√2.
Is 41472 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41472?
41472 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.