The number 76001
76001 is a twin prime (76001 and 76003 are both prime) and the 7485th prime number. Its only divisors are 1 and 76001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76001: a twin prime (76001 and 76003 are both prime); the 7485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76001 is prime, so its only factors are 1 and 76001. It is the 7485th prime; the next prime is 76003 and the one before is 75997.
- 3
The divisors add up to 76002; without 76001 itself that is 1, so 76001 is deficient (1 is less than 76001). Euler's totient φ(76001) = 76000 numbers up to 76001 share no factor with it.
- 4
The digits of 76001 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 187 steps to reach 1.
76001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76002 |
| Euler totient φ(n) | 76000 |
| Square | 5776152001 |
| Cube | 438993328228001 |
| Square root | 275.682789 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.6001 × |
76001 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and one |
| Binary (base 2) | 10010100011100001 |
| Octal (base 8) | 224341 |
| Hexadecimal (base 16) | 128E1 |
| Base 3 | 10212020212 |
| As time | 76001 seconds = 21 h 6 min 41 s |
Is 76001 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 1) | 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 76001 a prime number?
Yes. 76001 is divisible only by 1 and itself.
What are the factors of 76001?
1, 76001.
What is 76001 in binary?
10010100011100001 (hexadecimal 128E1, octal 224341).
What is the square root of 76001?
About 275.6828.
Is 76001 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 76001?
76001 is a twin prime (76001 and 76003 are both prime); the 7485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.