The number 58003
58003 is a composite number with 4 divisors. Its prime factorisation is 11 × 5273. Divisors (4): 1, 11, 5273, 58003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58003: a semiprime: 11 × 5273, the product of two primes.
- 2
58003 is composite. Its prime factorisation is
- 3
The divisors add up to 63288; without 58003 itself that is 5285, so 58003 is deficient (5285 is less than 58003). Euler's totient φ(58003) = 52720 numbers up to 58003 share no factor with it.
- 4
The digits of 58003 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58003 = 11 \times 5273 \]
58003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63288 |
| Euler totient φ(n) | 52720 |
| Square | 3364348009 |
| Cube | 195142277566027 |
| Square root | 240.838120 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8003 × |
58003 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and three |
| Binary (base 2) | 1110001010010011 |
| Octal (base 8) | 161223 |
| Hexadecimal (base 16) | E293 |
| Base 3 | 2221120021 |
| As time | 58003 seconds = 16 h 6 min 43 s |
Is 58003 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 1) | 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 7) | 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 | Yes (58003 ÷ 11 = 5273) | 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 58003 a prime number?
No. 58003 = 11 × 5273, so it is divisible by 11.
What are the factors of 58003?
1, 11, 5273, 58003.
What is 58003 in binary?
1110001010010011 (hexadecimal E293, octal 161223).
What is the square root of 58003?
About 240.8381.
Is 58003 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 58003?
58003 is a semiprime: 11 × 5273, the product of two primes.