The number 60003
60003 is a composite number with 12 divisors. Its prime factorisation is × 59 × 113. Divisors (12): 1, 3, 9, 59, 113, 177, 339, 531, 1017, 6667, 20001, 60003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60003: a Harshad number: divisible by its digit sum 9.
- 2
60003 is composite. Its prime factorisation is
- 3
The divisors add up to 88920; without 60003 itself that is 28917, so 60003 is deficient (28917 is less than 60003). Euler's totient φ(60003) = 38976 numbers up to 60003 share no factor with it.
- 4
The digits of 60003 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60003 = 3^{2} \times 59 \times 113 \]60003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88920 |
| Euler totient φ(n) | 38976 |
| Square | 3600360009 |
| Cube | 216032401620027 |
| Square root | 244.955098 (= 3√6667) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0003 × |
60003 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and three |
| Binary (base 2) | 1110101001100011 |
| Octal (base 8) | 165143 |
| Hexadecimal (base 16) | EA63 |
| Base 3 | 10001022100 |
| As time | 60003 seconds = 16 h 40 min 3 s |
Is 60003 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 | Yes (60003 ÷ 3 = 20001) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (60003 ÷ 9 = 6667) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60003 a prime number?
No. 60003 = × 59 × 113, so it is divisible by 3.
What are the factors of 60003?
1, 3, 9, 59, 113, 177, 339, 531, 1017, 6667, 20001, 60003.
What is 60003 in binary?
1110101001100011 (hexadecimal EA63, octal 165143).
What is the square root of 60003?
About 244.9551, exactly 3√6667.
Is 60003 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60003?
60003 is a Harshad number: divisible by its digit sum 9.