The number 34721
34721 is the 3708th prime number. Its only divisors are 1 and 34721.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34721: the 3708th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34721 is prime, so its only factors are 1 and 34721. It is the 3708th prime; the next prime is 34729 and the one before is 34703.
- 3
The divisors add up to 34722; without 34721 itself that is 1, so 34721 is deficient (1 is less than 34721). Euler's totient φ(34721) = 34720 numbers up to 34721 share no factor with it.
- 4
The digits of 34721 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
34721 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34722 |
| Euler totient φ(n) | 34720 |
| Square | 1205547841 |
| Cube | 41857826587361 |
| Square root | 186.335719 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4721 × |
34721 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and twenty-one |
| Binary (base 2) | 1000011110100001 |
| Octal (base 8) | 103641 |
| Hexadecimal (base 16) | 87A1 |
| Base 3 | 1202121222 |
| As time | 34721 seconds = 9 h 38 min 41 s |
Is 34721 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 1) | 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 8) | 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 5) | 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 34721 a prime number?
Yes. 34721 is divisible only by 1 and itself.
What are the factors of 34721?
1, 34721.
What is 34721 in binary?
1000011110100001 (hexadecimal 87A1, octal 103641).
What is the square root of 34721?
About 186.3357.
Is 34721 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 34721?
34721 is the 3708th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.