The number 5772
5772 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 37. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156 … 5772.
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How to work it out
- 1
5772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5772 is composite. Its prime factorisation is
- 3
The divisors add up to 14896; without 5772 itself that is 9124, so 5772 is abundant (9124 is more than 5772). Euler's totient φ(5772) = 1728 numbers up to 5772 share no factor with it.
- 4
The digits of 5772 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5772 = 2^{2} \times 3 \times 13 \times 37 \]5772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14896 |
| Euler totient φ(n) | 1728 |
| Square | 33315984 |
| Cube | 192299859648 |
| Square root | 75.973680 (= 2√1443) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.772 × |
5772 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and seventy-two |
| Binary (base 2) | 1011010001100 |
| Octal (base 8) | 13214 |
| Hexadecimal (base 16) | 168C |
| Base 3 | 21220210 |
| As time | 5772 seconds = 1 h 36 min 12 s |
Is 5772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5772 ÷ 2 = 2886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5772 ÷ 3 = 1924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5772 ÷ 4 = 1443) | 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 (5772 ÷ 6 = 962) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5772 ÷ 12 = 481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5772 a prime number?
No. 5772 = × 3 × 13 × 37, so it is divisible by 2.
What are the factors of 5772?
1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772.
What is 5772 in binary?
1011010001100 (hexadecimal 168C, octal 13214).
What is the square root of 5772?
About 75.9737, exactly 2√1443.
Is 5772 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5772?
It is a composite number with 24 divisors.