The number 70003
70003 is a twin prime (70001 and 70003 are both prime) and the 6937th prime number. Its only divisors are 1 and 70003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70003: a twin prime (70001 and 70003 are both prime); the 6937th prime number.
- 2
70003 is prime, so its only factors are 1 and 70003. It is the 6937th prime; the next prime is 70009 and the one before is 70001.
- 3
The divisors add up to 70004; without 70003 itself that is 1, so 70003 is deficient (1 is less than 70003). Euler's totient φ(70003) = 70002 numbers up to 70003 share no factor with it.
- 4
The digits of 70003 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
70003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 70004 |
| Euler totient φ(n) | 70002 |
| Square | 4900420009 |
| Cube | 343044101890027 |
| Square root | 264.580801 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.0003 × |
70003 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and three |
| Binary (base 2) | 10001000101110011 |
| Octal (base 8) | 210563 |
| Hexadecimal (base 16) | 11173 |
| Base 3 | 10120000201 |
| As time | 70003 seconds = 19 h 26 min 43 s |
Is 70003 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 3) | 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 1) | 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 10) | 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 70003 a prime number?
Yes. 70003 is divisible only by 1 and itself.
What are the factors of 70003?
1, 70003.
What is 70003 in binary?
10001000101110011 (hexadecimal 11173, octal 210563).
What is the square root of 70003?
About 264.5808.
Is 70003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 70003?
70003 is a twin prime (70001 and 70003 are both prime); the 6937th prime number.