The number 877
877 is the 151st prime number. Its only divisors are 1 and 877.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 877: the 151st prime number.
- 2
877 is prime, so its only factors are 1 and 877. It is the 151st prime; the next prime is 881 and the one before is 863.
- 3
The divisors add up to 878; without 877 itself that is 1, so 877 is deficient (1 is less than 877). Euler's totient φ(877) = 876 numbers up to 877 share no factor with it.
- 4
The digits of 877 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 54 steps to reach 1.
877 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 878 |
| Euler totient φ(n) | 876 |
| Square | 769129 |
| Cube | 674526133 |
| Square root | 29.614186 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 54 |
| Scientific notation | 8.77 × |
877 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seventy-seven |
| Roman numerals | DCCCLXXVII |
| Binary (base 2) | 1101101101 |
| Octal (base 8) | 1555 |
| Hexadecimal (base 16) | 36D |
| Base 3 | 1012111 |
| As time | 877 seconds = 14 min 37 s |
Is 877 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 2) | 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 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 8) | 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 877 a prime number?
Yes. 877 is divisible only by 1 and itself.
What are the factors of 877?
1, 877.
What is 877 in binary?
1101101101 (hexadecimal 36D, octal 1555).
What is the square root of 877?
About 29.6142.
What is 877 in Roman numerals?
DCCCLXXVII.
Is 877 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 877?
877 is the 151st prime number.