The number 57772
57772 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 101. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 101, 143, 202, 286, 404, 572, 1111 … 57772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57772 is composite. Its prime factorisation is
- 3
The divisors add up to 119952; without 57772 itself that is 62180, so 57772 is abundant (62180 is more than 57772). Euler's totient φ(57772) = 24000 numbers up to 57772 share no factor with it.
- 4
The digits of 57772 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57772 = 2^{2} \times 11 \times 13 \times 101 \]57772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119952 |
| Euler totient φ(n) | 24000 |
| Square | 3337603984 |
| Cube | 192820057363648 |
| Square root | 240.358066 (= 2√14443) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7772 × |
57772 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and seventy-two |
| Binary (base 2) | 1110000110101100 |
| Octal (base 8) | 160654 |
| Hexadecimal (base 16) | E1AC |
| Base 3 | 2221020201 |
| As time | 57772 seconds = 16 h 2 min 52 s |
Is 57772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57772 ÷ 2 = 28886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57772 ÷ 4 = 14443) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 (57772 ÷ 11 = 5252) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57772 a prime number?
No. 57772 = × 11 × 13 × 101, so it is divisible by 2.
What are the factors of 57772?
1, 2, 4, 11, 13, 22, 26, 44, 52, 101, 143, 202, 286, 404, 572, 1111, 1313, 2222, 2626, 4444, 5252, 14443, 28886, 57772.
What is 57772 in binary?
1110000110101100 (hexadecimal E1AC, octal 160654).
What is the square root of 57772?
About 240.3581, exactly 2√14443.
Is 57772 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57772?
57772 is a happy number: repeatedly adding the squares of its digits reaches 1.