The number 58014
58014 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 293. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758 … 58014.
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How to work it out
- 1
What is special about 58014: a Harshad number: divisible by its digit sum 18.
- 2
58014 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 58014 itself that is 79578, so 58014 is abundant (79578 is more than 58014). Euler's totient φ(58014) = 17520 numbers up to 58014 share no factor with it.
- 4
The digits of 58014 add up to 18, 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
\[ 58014 = 2 \times 3^{2} \times 11 \times 293 \]58014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 17520 |
| Square | 3365624196 |
| Cube | 195253322106744 |
| Square root | 240.860956 (= 3√6446) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8014 × |
58014 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and fourteen |
| Binary (base 2) | 1110001010011110 |
| Octal (base 8) | 161236 |
| Hexadecimal (base 16) | E29E |
| Base 3 | 2221120200 |
| As time | 58014 seconds = 16 h 6 min 54 s |
Is 58014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58014 ÷ 2 = 29007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58014 ÷ 3 = 19338) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58014 ÷ 6 = 9669) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58014 ÷ 9 = 6446) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58014 ÷ 11 = 5274) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58014 a prime number?
No. 58014 = 2 × × 11 × 293, so it is divisible by 2.
What are the factors of 58014?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758, 2637, 3223, 5274, 6446, 9669, 19338, 29007, 58014.
What is 58014 in binary?
1110001010011110 (hexadecimal E29E, octal 161236).
What is the square root of 58014?
About 240.8610, exactly 3√6446.
Is 58014 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58014?
58014 is a Harshad number: divisible by its digit sum 18.