The number 40772
40772 is a composite number with 6 divisors. Its prime factorisation is × 10193. Divisors (6): 1, 2, 4, 10193, 20386, 40772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40772 is composite. Its prime factorisation is
- 3
The divisors add up to 71358; without 40772 itself that is 30586, so 40772 is deficient (30586 is less than 40772). Euler's totient φ(40772) = 20384 numbers up to 40772 share no factor with it.
- 4
The digits of 40772 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40772 = 2^{2} \times 10193 \]40772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71358 |
| Euler totient φ(n) | 20384 |
| Square | 1662355984 |
| Cube | 67777578179648 |
| Square root | 201.920777 (= 2√10193) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0772 × |
40772 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and seventy-two |
| Binary (base 2) | 1001111101000100 |
| Octal (base 8) | 117504 |
| Hexadecimal (base 16) | 9F44 |
| Base 3 | 2001221002 |
| As time | 40772 seconds = 11 h 19 min 32 s |
Is 40772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40772 ÷ 2 = 20386) | 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 (40772 ÷ 4 = 10193) | 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 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 | No (remainder 2) | 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 6) | 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 40772 a prime number?
No. 40772 = × 10193, so it is divisible by 2.
What are the factors of 40772?
1, 2, 4, 10193, 20386, 40772.
What is 40772 in binary?
1001111101000100 (hexadecimal 9F44, octal 117504).
What is the square root of 40772?
About 201.9208, exactly 2√10193.
Is 40772 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40772?
It is a composite number with 6 divisors.