The number 49477
49477 is the 5084th prime number. Its only divisors are 1 and 49477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49477: the 5084th prime number.
- 2
49477 is prime, so its only factors are 1 and 49477. It is the 5084th prime; the next prime is 49481 and the one before is 49463.
- 3
The divisors add up to 49478; without 49477 itself that is 1, so 49477 is deficient (1 is less than 49477). Euler's totient φ(49477) = 49476 numbers up to 49477 share no factor with it.
- 4
The digits of 49477 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
49477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49478 |
| Euler totient φ(n) | 49476 |
| Square | 2447973529 |
| Cube | 121118386294333 |
| Square root | 222.434260 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9477 × |
49477 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and seventy-seven |
| Binary (base 2) | 1100000101000101 |
| Octal (base 8) | 140505 |
| Hexadecimal (base 16) | C145 |
| Base 3 | 2111212111 |
| As time | 49477 seconds = 13 h 44 min 37 s |
Is 49477 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 1) | 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 10) | 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 49477 a prime number?
Yes. 49477 is divisible only by 1 and itself.
What are the factors of 49477?
1, 49477.
What is 49477 in binary?
1100000101000101 (hexadecimal C145, octal 140505).
What is the square root of 49477?
About 222.4343.
Is 49477 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49477?
49477 is the 5084th prime number.