The number 48131
48131 is the 4957th prime number. Its only divisors are 1 and 48131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48131: the 4957th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48131 is prime, so its only factors are 1 and 48131. It is the 4957th prime; the next prime is 48157 and the one before is 48121.
- 3
The divisors add up to 48132; without 48131 itself that is 1, so 48131 is deficient (1 is less than 48131). Euler's totient φ(48131) = 48130 numbers up to 48131 share no factor with it.
- 4
The digits of 48131 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48131 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48132 |
| Euler totient φ(n) | 48130 |
| Square | 2316593161 |
| Cube | 111499945432091 |
| Square root | 219.387785 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8131 × |
48131 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and thirty-one |
| Binary (base 2) | 1011110000000011 |
| Octal (base 8) | 136003 |
| Hexadecimal (base 16) | BC03 |
| Base 3 | 2110000122 |
| As time | 48131 seconds = 13 h 22 min 11 s |
Is 48131 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 1) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48131 a prime number?
Yes. 48131 is divisible only by 1 and itself.
What are the factors of 48131?
1, 48131.
What is 48131 in binary?
1011110000000011 (hexadecimal BC03, octal 136003).
What is the square root of 48131?
About 219.3878.
Is 48131 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48131?
48131 is the 4957th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.