The number 40973
40973 is the 4290th prime number. Its only divisors are 1 and 40973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40973: the 4290th prime number.
- 2
40973 is prime, so its only factors are 1 and 40973. It is the 4290th prime; the next prime is 40993 and the one before is 40961.
- 3
The divisors add up to 40974; without 40973 itself that is 1, so 40973 is deficient (1 is less than 40973). Euler's totient φ(40973) = 40972 numbers up to 40973 share no factor with it.
- 4
The digits of 40973 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
40973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40974 |
| Euler totient φ(n) | 40972 |
| Square | 1678786729 |
| Cube | 68784928647317 |
| Square root | 202.417885 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0973 × |
40973 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-three |
| Binary (base 2) | 1010000000001101 |
| Octal (base 8) | 120015 |
| Hexadecimal (base 16) | A00D |
| Base 3 | 2002012112 |
| As time | 40973 seconds = 11 h 22 min 53 s |
Is 40973 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 40973 a prime number?
Yes. 40973 is divisible only by 1 and itself.
What are the factors of 40973?
1, 40973.
What is 40973 in binary?
1010000000001101 (hexadecimal A00D, octal 120015).
What is the square root of 40973?
About 202.4179.
Is 40973 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40973?
40973 is the 4290th prime number.