The number 68003
68003 is a composite number with 4 divisors. Its prime factorisation is 13 × 5231. Divisors (4): 1, 13, 5231, 68003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 68003: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5231, the product of two primes.
- 2
68003 is composite. Its prime factorisation is
- 3
The divisors add up to 73248; without 68003 itself that is 5245, so 68003 is deficient (5245 is less than 68003). Euler's totient φ(68003) = 62760 numbers up to 68003 share no factor with it.
- 4
The digits of 68003 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68003 = 13 \times 5231 \]
68003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73248 |
| Euler totient φ(n) | 62760 |
| Square | 4624408009 |
| Cube | 314473617836027 |
| Square root | 260.773848 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.8003 × |
68003 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and three |
| Binary (base 2) | 10000100110100011 |
| Octal (base 8) | 204643 |
| Hexadecimal (base 16) | 109A3 |
| Base 3 | 10110021122 |
| As time | 68003 seconds = 18 h 53 min 23 s |
Is 68003 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 5) | 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 8) | 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 1) | 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 68003 a prime number?
No. 68003 = 13 × 5231, so it is divisible by 13.
What are the factors of 68003?
1, 13, 5231, 68003.
What is 68003 in binary?
10000100110100011 (hexadecimal 109A3, octal 204643).
What is the square root of 68003?
About 260.7738.
Is 68003 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 68003?
68003 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5231, the product of two primes.