The number 35772
35772 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 271. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 271, 542, 813, 1084 … 35772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35772 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 35772 itself that is 55620, so 35772 is abundant (55620 is more than 35772). Euler's totient φ(35772) = 10800 numbers up to 35772 share no factor with it.
- 4
The digits of 35772 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35772 = 2^{2} \times 3 \times 11 \times 271 \]35772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 10800 |
| Square | 1279635984 |
| Cube | 45775138419648 |
| Square root | 189.134873 (= 2√8943) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.5772 × |
35772 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and seventy-two |
| Binary (base 2) | 1000101110111100 |
| Octal (base 8) | 105674 |
| Hexadecimal (base 16) | 8BBC |
| Base 3 | 1211001220 |
| As time | 35772 seconds = 9 h 56 min 12 s |
Is 35772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35772 ÷ 2 = 17886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35772 ÷ 3 = 11924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35772 ÷ 4 = 8943) | 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 (35772 ÷ 6 = 5962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 | Yes (35772 ÷ 11 = 3252) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35772 ÷ 12 = 2981) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35772 a prime number?
No. 35772 = × 3 × 11 × 271, so it is divisible by 2.
What are the factors of 35772?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 271, 542, 813, 1084, 1626, 2981, 3252, 5962, 8943, 11924, 17886, 35772.
What is 35772 in binary?
1000101110111100 (hexadecimal 8BBC, octal 105674).
What is the square root of 35772?
About 189.1349, exactly 2√8943.
Is 35772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 35772?
It is a composite number with 24 divisors.