The number 43997
43997 is the 4579th prime number. Its only divisors are 1 and 43997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43997: the 4579th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43997 is prime, so its only factors are 1 and 43997. It is the 4579th prime; the next prime is 44017 and the one before is 43991.
- 3
The divisors add up to 43998; without 43997 itself that is 1, so 43997 is deficient (1 is less than 43997). Euler's totient φ(43997) = 43996 numbers up to 43997 share no factor with it.
- 4
The digits of 43997 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 70 steps to reach 1.
43997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43998 |
| Euler totient φ(n) | 43996 |
| Square | 1935736009 |
| Cube | 85166577187973 |
| Square root | 209.754619 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3997 × |
43997 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and ninety-seven |
| Binary (base 2) | 1010101111011101 |
| Octal (base 8) | 125735 |
| Hexadecimal (base 16) | ABDD |
| Base 3 | 2020100112 |
| As time | 43997 seconds = 12 h 13 min 17 s |
Is 43997 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 43997 a prime number?
Yes. 43997 is divisible only by 1 and itself.
What are the factors of 43997?
1, 43997.
What is 43997 in binary?
1010101111011101 (hexadecimal ABDD, octal 125735).
What is the square root of 43997?
About 209.7546.
Is 43997 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 43997?
43997 is the 4579th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.