The number 1772
1772 is a composite number with 6 divisors. Its prime factorisation is × 443. Divisors (6): 1, 2, 4, 443, 886, 1772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1772 is composite. Its prime factorisation is
- 3
The divisors add up to 3108; without 1772 itself that is 1336, so 1772 is deficient (1336 is less than 1772). Euler's totient φ(1772) = 884 numbers up to 1772 share no factor with it.
- 4
The digits of 1772 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1772 = 2^{2} \times 443 \]1772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3108 |
| Euler totient φ(n) | 884 |
| Square | 3139984 |
| Cube | 5564051648 |
| Square root | 42.095130 (= 2√443) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.772 × |
1772 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and seventy-two |
| Roman numerals | MDCCLXXII |
| Binary (base 2) | 11011101100 |
| Octal (base 8) | 3354 |
| Hexadecimal (base 16) | 6EC |
| Base 3 | 2102122 |
| As time | 1772 seconds = 29 min 32 s |
Is 1772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1772 ÷ 2 = 886) | 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 (1772 ÷ 4 = 443) | 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 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 8) | 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 1) | 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 1772 a prime number?
No. 1772 = × 443, so it is divisible by 2.
What are the factors of 1772?
1, 2, 4, 443, 886, 1772.
What is 1772 in binary?
11011101100 (hexadecimal 6EC, octal 3354).
What is the square root of 1772?
About 42.0951, exactly 2√443.
What is 1772 in Roman numerals?
MDCCLXXII.
Is 1772 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1772?
1772 is a happy number: repeatedly adding the squares of its digits reaches 1.