The number 977
977 is the 165th prime number. Its only divisors are 1 and 977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 977: the 165th prime number.
- 2
977 is prime, so its only factors are 1 and 977. It is the 165th prime; the next prime is 983 and the one before is 971.
- 3
The divisors add up to 978; without 977 itself that is 1, so 977 is deficient (1 is less than 977). Euler's totient φ(977) = 976 numbers up to 977 share no factor with it.
- 4
The digits of 977 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 978 |
| Euler totient φ(n) | 976 |
| Square | 954529 |
| Cube | 932574833 |
| Square root | 31.256999 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 9.77 × |
977 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy-seven |
| Roman numerals | CMLXXVII |
| Binary (base 2) | 1111010001 |
| Octal (base 8) | 1721 |
| Hexadecimal (base 16) | 3D1 |
| Base 3 | 1100012 |
| As time | 977 seconds = 16 min 17 s |
Is 977 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 977 a prime number?
Yes. 977 is divisible only by 1 and itself.
What are the factors of 977?
1, 977.
What is 977 in binary?
1111010001 (hexadecimal 3D1, octal 1721).
What is the square root of 977?
About 31.2570.
What is 977 in Roman numerals?
CMLXXVII.
Is 977 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 977?
977 is the 165th prime number.