The number 53987
53987 is the 5499th prime number. Its only divisors are 1 and 53987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53987: the 5499th prime number.
- 2
53987 is prime, so its only factors are 1 and 53987. It is the 5499th prime; the next prime is 53993 and the one before is 53959.
- 3
The divisors add up to 53988; without 53987 itself that is 1, so 53987 is deficient (1 is less than 53987). Euler's totient φ(53987) = 53986 numbers up to 53987 share no factor with it.
- 4
The digits of 53987 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
53987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53988 |
| Euler totient φ(n) | 53986 |
| Square | 2914596169 |
| Cube | 157350303375803 |
| Square root | 232.351028 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3987 × |
53987 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty-seven |
| Binary (base 2) | 1101001011100011 |
| Octal (base 8) | 151343 |
| Hexadecimal (base 16) | D2E3 |
| Base 3 | 2202001112 |
| As time | 53987 seconds = 14 h 59 min 47 s |
Is 53987 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 3) | 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 3) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53987 a prime number?
Yes. 53987 is divisible only by 1 and itself.
What are the factors of 53987?
1, 53987.
What is 53987 in binary?
1101001011100011 (hexadecimal D2E3, octal 151343).
What is the square root of 53987?
About 232.3510.
Is 53987 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 53987?
53987 is the 5499th prime number.