The number 277
277 is the 59th prime number. Its only divisors are 1 and 277.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 277: the 59th prime number.
- 2
277 is prime, so its only factors are 1 and 277. It is the 59th prime; the next prime is 281 and the one before is 271.
- 3
The divisors add up to 278; without 277 itself that is 1, so 277 is deficient (1 is less than 277). Euler's totient φ(277) = 276 numbers up to 277 share no factor with it.
- 4
The digits of 277 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 16 steps to reach 1.
277 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 278 |
| Euler totient φ(n) | 276 |
| Square | 76729 |
| Cube | 21253933 |
| Square root | 16.643317 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 16 |
| Scientific notation | 2.77 × |
277 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy-seven |
| Roman numerals | CCLXXVII |
| Binary (base 2) | 100010101 |
| Octal (base 8) | 425 |
| Hexadecimal (base 16) | 115 |
| Base 3 | 101021 |
| As time | 277 seconds = 4 min 37 s |
Is 277 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 277 a prime number?
Yes. 277 is divisible only by 1 and itself.
What are the factors of 277?
1, 277.
What is 277 in binary?
100010101 (hexadecimal 115, octal 425).
What is the square root of 277?
About 16.6433.
What is 277 in Roman numerals?
CCLXXVII.
Is 277 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 277?
277 is the 59th prime number.