The number 70001
70001 is a twin prime (70001 and 70003 are both prime) and the 6936th prime number. Its only divisors are 1 and 70001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70001: a twin prime (70001 and 70003 are both prime); the 6936th prime number.
- 2
70001 is prime, so its only factors are 1 and 70001. It is the 6936th prime; the next prime is 70003 and the one before is 69997.
- 3
The divisors add up to 70002; without 70001 itself that is 1, so 70001 is deficient (1 is less than 70001). Euler's totient φ(70001) = 70000 numbers up to 70001 share no factor with it.
- 4
The digits of 70001 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
70001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 70002 |
| Euler totient φ(n) | 70000 |
| Square | 4900140001 |
| Cube | 343014700210001 |
| Square root | 264.577021 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.0001 × |
70001 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and one |
| Binary (base 2) | 10001000101110001 |
| Octal (base 8) | 210561 |
| Hexadecimal (base 16) | 11171 |
| Base 3 | 10120000122 |
| As time | 70001 seconds = 19 h 26 min 41 s |
Is 70001 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 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 70001 a prime number?
Yes. 70001 is divisible only by 1 and itself.
What are the factors of 70001?
1, 70001.
What is 70001 in binary?
10001000101110001 (hexadecimal 11171, octal 210561).
What is the square root of 70001?
About 264.5770.
Is 70001 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 70001?
70001 is a twin prime (70001 and 70003 are both prime); the 6936th prime number.