The number 70321
70321 is the 6970th prime number. Its only divisors are 1 and 70321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70321: the 6970th prime number.
- 2
70321 is prime, so its only factors are 1 and 70321. It is the 6970th prime; the next prime is 70327 and the one before is 70313.
- 3
The divisors add up to 70322; without 70321 itself that is 1, so 70321 is deficient (1 is less than 70321). Euler's totient φ(70321) = 70320 numbers up to 70321 share no factor with it.
- 4
The digits of 70321 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 130 steps to reach 1.
70321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 70322 |
| Euler totient φ(n) | 70320 |
| Square | 4945043041 |
| Cube | 347740371686161 |
| Square root | 265.181070 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 7.0321 × |
70321 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand three hundred and twenty-one |
| Binary (base 2) | 10001001010110001 |
| Octal (base 8) | 211261 |
| Hexadecimal (base 16) | 112B1 |
| Base 3 | 10120110111 |
| As time | 70321 seconds = 19 h 32 min 1 s |
Is 70321 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 6) | 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 9) | 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 70321 a prime number?
Yes. 70321 is divisible only by 1 and itself.
What are the factors of 70321?
1, 70321.
What is 70321 in binary?
10001001010110001 (hexadecimal 112B1, octal 211261).
What is the square root of 70321?
About 265.1811.
Is 70321 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 70321?
70321 is the 6970th prime number.