The number 58044
58044 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 691. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 691, 1382, 2073, 2764 … 58044.
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How to work it out
- 1
What is special about 58044: a Harshad number: divisible by its digit sum 21.
- 2
58044 is composite. Its prime factorisation is
- 3
The divisors add up to 155008; without 58044 itself that is 96964, so 58044 is abundant (96964 is more than 58044). Euler's totient φ(58044) = 16560 numbers up to 58044 share no factor with it.
- 4
The digits of 58044 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58044 = 2^{2} \times 3 \times 7 \times 691 \]58044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155008 |
| Euler totient φ(n) | 16560 |
| Square | 3369105936 |
| Cube | 195556384949184 |
| Square root | 240.923224 (= 2√14511) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.8044 × |
58044 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and forty-four |
| Binary (base 2) | 1110001010111100 |
| Octal (base 8) | 161274 |
| Hexadecimal (base 16) | E2BC |
| Base 3 | 2221121210 |
| As time | 58044 seconds = 16 h 7 min 24 s |
Is 58044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58044 ÷ 2 = 29022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58044 ÷ 3 = 19348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58044 ÷ 4 = 14511) | 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 (58044 ÷ 6 = 9674) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58044 ÷ 7 = 8292) | 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 3) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58044 ÷ 12 = 4837) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58044 a prime number?
No. 58044 = × 3 × 7 × 691, so it is divisible by 2.
What are the factors of 58044?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 691, 1382, 2073, 2764, 4146, 4837, 8292, 9674, 14511, 19348, 29022, 58044.
What is 58044 in binary?
1110001010111100 (hexadecimal E2BC, octal 161274).
What is the square root of 58044?
About 240.9232, exactly 2√14511.
Is 58044 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 58044?
58044 is a Harshad number: divisible by its digit sum 21.