The number 97003
97003 is a twin prime (97001 and 97003 are both prime) and the 9338th prime number. Its only divisors are 1 and 97003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97003: a twin prime (97001 and 97003 are both prime); the 9338th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97003 is prime, so its only factors are 1 and 97003. It is the 9338th prime; the next prime is 97007 and the one before is 97001.
- 3
The divisors add up to 97004; without 97003 itself that is 1, so 97003 is deficient (1 is less than 97003). Euler's totient φ(97003) = 97002 numbers up to 97003 share no factor with it.
- 4
The digits of 97003 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
97003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97004 |
| Euler totient φ(n) | 97002 |
| Square | 9409582009 |
| Cube | 912757683619027 |
| Square root | 311.453046 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7003 × |
97003 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and three |
| Binary (base 2) | 10111101011101011 |
| Octal (base 8) | 275353 |
| Hexadecimal (base 16) | 17AEB |
| Base 3 | 11221001201 |
| As time | 97003 seconds = 26 h 56 min 43 s |
Is 97003 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 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 5) | 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 97003 a prime number?
Yes. 97003 is divisible only by 1 and itself.
What are the factors of 97003?
1, 97003.
What is 97003 in binary?
10111101011101011 (hexadecimal 17AEB, octal 275353).
What is the square root of 97003?
About 311.4530.
Is 97003 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 97003?
97003 is a twin prime (97001 and 97003 are both prime); the 9338th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.