The number 47977
47977 is the 4945th prime number. Its only divisors are 1 and 47977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47977: the 4945th prime number.
- 2
47977 is prime, so its only factors are 1 and 47977. It is the 4945th prime; the next prime is 47981 and the one before is 47969.
- 3
The divisors add up to 47978; without 47977 itself that is 1, so 47977 is deficient (1 is less than 47977). Euler's totient φ(47977) = 47976 numbers up to 47977 share no factor with it.
- 4
The digits of 47977 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
47977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47978 |
| Euler totient φ(n) | 47976 |
| Square | 2301792529 |
| Cube | 110433100163833 |
| Square root | 219.036527 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7977 × |
47977 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 1011101101101001 |
| Octal (base 8) | 135551 |
| Hexadecimal (base 16) | BB69 |
| Base 3 | 2102210221 |
| As time | 47977 seconds = 13 h 19 min 37 s |
Is 47977 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 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 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 47977 a prime number?
Yes. 47977 is divisible only by 1 and itself.
What are the factors of 47977?
1, 47977.
What is 47977 in binary?
1011101101101001 (hexadecimal BB69, octal 135551).
What is the square root of 47977?
About 219.0365.
Is 47977 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 47977?
47977 is the 4945th prime number.