The number 43321
43321 is a twin prime (43319 and 43321 are both prime) and the 4521st prime number. Its only divisors are 1 and 43321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43321: a twin prime (43319 and 43321 are both prime); the 4521st prime number.
- 2
43321 is prime, so its only factors are 1 and 43321. It is the 4521st prime; the next prime is 43331 and the one before is 43319.
- 3
The divisors add up to 43322; without 43321 itself that is 1, so 43321 is deficient (1 is less than 43321). Euler's totient φ(43321) = 43320 numbers up to 43321 share no factor with it.
- 4
The digits of 43321 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
43321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43322 |
| Euler totient φ(n) | 43320 |
| Square | 1876709041 |
| Cube | 81300912365161 |
| Square root | 208.136974 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3321 × |
43321 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and twenty-one |
| Binary (base 2) | 1010100100111001 |
| Octal (base 8) | 124471 |
| Hexadecimal (base 16) | A939 |
| Base 3 | 2012102111 |
| As time | 43321 seconds = 12 h 2 min 1 s |
Is 43321 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 1) | 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 5) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 43321 a prime number?
Yes. 43321 is divisible only by 1 and itself.
What are the factors of 43321?
1, 43321.
What is 43321 in binary?
1010100100111001 (hexadecimal A939, octal 124471).
What is the square root of 43321?
About 208.1370.
Is 43321 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 43321?
43321 is a twin prime (43319 and 43321 are both prime); the 4521st prime number.