The number 34421
34421 is the 3677th prime number. Its only divisors are 1 and 34421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34421: the 3677th prime number.
- 2
34421 is prime, so its only factors are 1 and 34421. It is the 3677th prime; the next prime is 34429 and the one before is 34403.
- 3
The divisors add up to 34422; without 34421 itself that is 1, so 34421 is deficient (1 is less than 34421). Euler's totient φ(34421) = 34420 numbers up to 34421 share no factor with it.
- 4
The digits of 34421 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
34421 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34422 |
| Euler totient φ(n) | 34420 |
| Square | 1184805241 |
| Cube | 40782181200461 |
| Square root | 185.528973 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4421 × |
34421 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty-one |
| Binary (base 2) | 1000011001110101 |
| Octal (base 8) | 103165 |
| Hexadecimal (base 16) | 8675 |
| Base 3 | 1202012212 |
| As time | 34421 seconds = 9 h 33 min 41 s |
Is 34421 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 34421 a prime number?
Yes. 34421 is divisible only by 1 and itself.
What are the factors of 34421?
1, 34421.
What is 34421 in binary?
1000011001110101 (hexadecimal 8675, octal 103165).
What is the square root of 34421?
About 185.5290.
Is 34421 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34421?
34421 is the 3677th prime number.