The number 41072
41072 is a composite number with 20 divisors. Its prime factorisation is × 17 × 151. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 151, 272, 302, 604, 1208, 2416, 2567 … 41072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41072 is composite. Its prime factorisation is
- 3
The divisors add up to 84816; without 41072 itself that is 43744, so 41072 is abundant (43744 is more than 41072). Euler's totient φ(41072) = 19200 numbers up to 41072 share no factor with it.
- 4
The digits of 41072 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41072 = 2^{4} \times 17 \times 151 \]41072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 84816 |
| Euler totient φ(n) | 19200 |
| Square | 1686909184 |
| Cube | 69284734005248 |
| Square root | 202.662281 (= 4√2567) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1072 × |
41072 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and seventy-two |
| Binary (base 2) | 1010000001110000 |
| Octal (base 8) | 120160 |
| Hexadecimal (base 16) | A070 |
| Base 3 | 2002100012 |
| As time | 41072 seconds = 11 h 24 min 32 s |
Is 41072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41072 ÷ 2 = 20536) | 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 | Yes (41072 ÷ 4 = 10268) | 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 | No (remainder 2) | 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 (41072 ÷ 8 = 5134) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41072 a prime number?
No. 41072 = × 17 × 151, so it is divisible by 2.
What are the factors of 41072?
1, 2, 4, 8, 16, 17, 34, 68, 136, 151, 272, 302, 604, 1208, 2416, 2567, 5134, 10268, 20536, 41072.
What is 41072 in binary?
1010000001110000 (hexadecimal A070, octal 120160).
What is the square root of 41072?
About 202.6623, exactly 4√2567.
Is 41072 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41072?
41072 is a happy number: repeatedly adding the squares of its digits reaches 1.