The number 53377
53377 is the 5443rd prime number. Its only divisors are 1 and 53377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53377: the 5443rd prime number.
- 2
53377 is prime, so its only factors are 1 and 53377. It is the 5443rd prime; the next prime is 53381 and the one before is 53359.
- 3
The divisors add up to 53378; without 53377 itself that is 1, so 53377 is deficient (1 is less than 53377). Euler's totient φ(53377) = 53376 numbers up to 53377 share no factor with it.
- 4
The digits of 53377 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
53377 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53378 |
| Euler totient φ(n) | 53376 |
| Square | 2849104129 |
| Cube | 152076631093633 |
| Square root | 231.034629 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3377 × |
53377 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventy-seven |
| Binary (base 2) | 1101000010000001 |
| Octal (base 8) | 150201 |
| Hexadecimal (base 16) | D081 |
| Base 3 | 2201012221 |
| As time | 53377 seconds = 14 h 49 min 37 s |
Is 53377 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 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 5) | 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 53377 a prime number?
Yes. 53377 is divisible only by 1 and itself.
What are the factors of 53377?
1, 53377.
What is 53377 in binary?
1101000010000001 (hexadecimal D081, octal 150201).
What is the square root of 53377?
About 231.0346.
Is 53377 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53377?
53377 is the 5443rd prime number.