The number 58012
58012 is a composite number with 6 divisors. Its prime factorisation is × 14503. Divisors (6): 1, 2, 4, 14503, 29006, 58012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58012 is composite. Its prime factorisation is
- 3
The divisors add up to 101528; without 58012 itself that is 43516, so 58012 is deficient (43516 is less than 58012). Euler's totient φ(58012) = 29004 numbers up to 58012 share no factor with it.
- 4
The digits of 58012 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58012 = 2^{2} \times 14503 \]58012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 101528 |
| Euler totient φ(n) | 29004 |
| Square | 3365392144 |
| Cube | 195233129057728 |
| Square root | 240.856804 (= 2√14503) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8012 × |
58012 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twelve |
| Binary (base 2) | 1110001010011100 |
| Octal (base 8) | 161234 |
| Hexadecimal (base 16) | E29C |
| Base 3 | 2221120121 |
| As time | 58012 seconds = 16 h 6 min 52 s |
Is 58012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58012 ÷ 2 = 29006) | 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 | Yes (58012 ÷ 4 = 14503) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58012 a prime number?
No. 58012 = × 14503, so it is divisible by 2.
What are the factors of 58012?
1, 2, 4, 14503, 29006, 58012.
What is 58012 in binary?
1110001010011100 (hexadecimal E29C, octal 161234).
What is the square root of 58012?
About 240.8568, exactly 2√14503.
Is 58012 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 58012?
58012 is a happy number: repeatedly adding the squares of its digits reaches 1.