The number 76003
76003 is a twin prime (76001 and 76003 are both prime) and the 7486th prime number. Its only divisors are 1 and 76003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76003: a twin prime (76001 and 76003 are both prime); the 7486th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76003 is prime, so its only factors are 1 and 76003. It is the 7486th prime; the next prime is 76031 and the one before is 76001.
- 3
The divisors add up to 76004; without 76003 itself that is 1, so 76003 is deficient (1 is less than 76003). Euler's totient φ(76003) = 76002 numbers up to 76003 share no factor with it.
- 4
The digits of 76003 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 81 steps to reach 1.
76003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76004 |
| Euler totient φ(n) | 76002 |
| Square | 5776456009 |
| Cube | 439027986052027 |
| Square root | 275.686416 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6003 × |
76003 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and three |
| Binary (base 2) | 10010100011100011 |
| Octal (base 8) | 224343 |
| Hexadecimal (base 16) | 128E3 |
| Base 3 | 10212020221 |
| As time | 76003 seconds = 21 h 6 min 43 s |
Is 76003 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76003 a prime number?
Yes. 76003 is divisible only by 1 and itself.
What are the factors of 76003?
1, 76003.
What is 76003 in binary?
10010100011100011 (hexadecimal 128E3, octal 224343).
What is the square root of 76003?
About 275.6864.
Is 76003 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 76003?
76003 is a twin prime (76001 and 76003 are both prime); the 7486th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.