The number 56003
56003 is the 5684th prime number. Its only divisors are 1 and 56003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56003: the 5684th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56003 is prime, so its only factors are 1 and 56003. It is the 5684th prime; the next prime is 56009 and the one before is 55997.
- 3
The divisors add up to 56004; without 56003 itself that is 1, so 56003 is deficient (1 is less than 56003). Euler's totient φ(56003) = 56002 numbers up to 56003 share no factor with it.
- 4
The digits of 56003 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 153 steps to reach 1.
56003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56004 |
| Euler totient φ(n) | 56002 |
| Square | 3136336009 |
| Cube | 175644225512027 |
| Square root | 236.649530 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.6003 × |
56003 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and three |
| Binary (base 2) | 1101101011000011 |
| Octal (base 8) | 155303 |
| Hexadecimal (base 16) | DAC3 |
| Base 3 | 2211211012 |
| As time | 56003 seconds = 15 h 33 min 23 s |
Is 56003 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 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 5) | 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 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56003 a prime number?
Yes. 56003 is divisible only by 1 and itself.
What are the factors of 56003?
1, 56003.
What is 56003 in binary?
1101101011000011 (hexadecimal DAC3, octal 155303).
What is the square root of 56003?
About 236.6495.
Is 56003 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 56003?
56003 is the 5684th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.