The number 1777
1777 is the 275th prime number. Its only divisors are 1 and 1777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1777: the 275th prime number.
- 2
1777 is prime, so its only factors are 1 and 1777. It is the 275th prime; the next prime is 1783 and the one before is 1759.
- 3
The divisors add up to 1778; without 1777 itself that is 1, so 1777 is deficient (1 is less than 1777). Euler's totient φ(1777) = 1776 numbers up to 1777 share no factor with it.
- 4
The digits of 1777 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
1777 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1778 |
| Euler totient φ(n) | 1776 |
| Square | 3157729 |
| Cube | 5611284433 |
| Square root | 42.154478 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.777 × |
1777 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and seventy-seven |
| Roman numerals | MDCCLXXVII |
| Binary (base 2) | 11011110001 |
| Octal (base 8) | 3361 |
| Hexadecimal (base 16) | 6F1 |
| Base 3 | 2102211 |
| As time | 1777 seconds = 29 min 37 s |
Is 1777 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1777 a prime number?
Yes. 1777 is divisible only by 1 and itself.
What are the factors of 1777?
1, 1777.
What is 1777 in binary?
11011110001 (hexadecimal 6F1, octal 3361).
What is the square root of 1777?
About 42.1545.
What is 1777 in Roman numerals?
MDCCLXXVII.
Is 1777 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 1777?
1777 is the 275th prime number.