The number 69001
69001 is the 6855th prime number. Its only divisors are 1 and 69001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 69001: the 6855th prime number.
- 2
69001 is prime, so its only factors are 1 and 69001. It is the 6855th prime; the next prime is 69011 and the one before is 68993.
- 3
The divisors add up to 69002; without 69001 itself that is 1, so 69001 is deficient (1 is less than 69001). Euler's totient φ(69001) = 69000 numbers up to 69001 share no factor with it.
- 4
The digits of 69001 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
69001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 69002 |
| Euler totient φ(n) | 69000 |
| Square | 4761138001 |
| Cube | 328523283207001 |
| Square root | 262.680414 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.9001 × |
69001 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand and one |
| Binary (base 2) | 10000110110001001 |
| Octal (base 8) | 206611 |
| Hexadecimal (base 16) | 10D89 |
| Base 3 | 10111122121 |
| As time | 69001 seconds = 19 h 10 min 1 s |
Is 69001 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 69001 a prime number?
Yes. 69001 is divisible only by 1 and itself.
What are the factors of 69001?
1, 69001.
What is 69001 in binary?
10000110110001001 (hexadecimal 10D89, octal 206611).
What is the square root of 69001?
About 262.6804.
Is 69001 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 69001?
69001 is the 6855th prime number.