The number 48973
48973 is the 5033rd prime number. Its only divisors are 1 and 48973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48973: the 5033rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48973 is prime, so its only factors are 1 and 48973. It is the 5033rd prime; the next prime is 48989 and the one before is 48953.
- 3
The divisors add up to 48974; without 48973 itself that is 1, so 48973 is deficient (1 is less than 48973). Euler's totient φ(48973) = 48972 numbers up to 48973 share no factor with it.
- 4
The digits of 48973 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 176 steps to reach 1.
48973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48974 |
| Euler totient φ(n) | 48972 |
| Square | 2398354729 |
| Cube | 117454626143317 |
| Square root | 221.298441 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.8973 × |
48973 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and seventy-three |
| Binary (base 2) | 1011111101001101 |
| Octal (base 8) | 137515 |
| Hexadecimal (base 16) | BF4D |
| Base 3 | 2111011211 |
| As time | 48973 seconds = 13 h 36 min 13 s |
Is 48973 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 48973 a prime number?
Yes. 48973 is divisible only by 1 and itself.
What are the factors of 48973?
1, 48973.
What is 48973 in binary?
1011111101001101 (hexadecimal BF4D, octal 137515).
What is the square root of 48973?
About 221.2984.
Is 48973 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48973?
48973 is the 5033rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.