The number 46477
46477 is the 4804th prime number. Its only divisors are 1 and 46477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46477: the 4804th prime number.
- 2
46477 is prime, so its only factors are 1 and 46477. It is the 4804th prime; the next prime is 46489 and the one before is 46471.
- 3
The divisors add up to 46478; without 46477 itself that is 1, so 46477 is deficient (1 is less than 46477). Euler's totient φ(46477) = 46476 numbers up to 46477 share no factor with it.
- 4
The digits of 46477 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
46477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46478 |
| Euler totient φ(n) | 46476 |
| Square | 2160111529 |
| Cube | 100395503533333 |
| Square root | 215.585250 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6477 × |
46477 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and seventy-seven |
| Binary (base 2) | 1011010110001101 |
| Octal (base 8) | 132615 |
| Hexadecimal (base 16) | B58D |
| Base 3 | 2100202101 |
| As time | 46477 seconds = 12 h 54 min 37 s |
Is 46477 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 1) | 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 46477 a prime number?
Yes. 46477 is divisible only by 1 and itself.
What are the factors of 46477?
1, 46477.
What is 46477 in binary?
1011010110001101 (hexadecimal B58D, octal 132615).
What is the square root of 46477?
About 215.5852.
Is 46477 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46477?
46477 is the 4804th prime number.