The number 10973
10973 is the 1332nd prime number. Its only divisors are 1 and 10973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10973: the 1332nd prime number.
- 2
10973 is prime, so its only factors are 1 and 10973. It is the 1332nd prime; the next prime is 10979 and the one before is 10957.
- 3
The divisors add up to 10974; without 10973 itself that is 1, so 10973 is deficient (1 is less than 10973). Euler's totient φ(10973) = 10972 numbers up to 10973 share no factor with it.
- 4
The digits of 10973 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
10973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10974 |
| Euler totient φ(n) | 10972 |
| Square | 120406729 |
| Cube | 1321223037317 |
| Square root | 104.752088 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0973 × |
10973 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and seventy-three |
| Binary (base 2) | 10101011011101 |
| Octal (base 8) | 25335 |
| Hexadecimal (base 16) | 2ADD |
| Base 3 | 120001102 |
| As time | 10973 seconds = 3 h 2 min 53 s |
Is 10973 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 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 5) | 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 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10973 a prime number?
Yes. 10973 is divisible only by 1 and itself.
What are the factors of 10973?
1, 10973.
What is 10973 in binary?
10101011011101 (hexadecimal 2ADD, octal 25335).
What is the square root of 10973?
About 104.7521.
Is 10973 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10973?
10973 is the 1332nd prime number.