The number 58672
58672 is a composite number with 20 divisors. Its prime factorisation is × 19 × 193. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 193, 304, 386, 772, 1544, 3088, 3667 … 58672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58672 is composite. Its prime factorisation is
- 3
The divisors add up to 120280; without 58672 itself that is 61608, so 58672 is abundant (61608 is more than 58672). Euler's totient φ(58672) = 27648 numbers up to 58672 share no factor with it.
- 4
The digits of 58672 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58672 = 2^{4} \times 19 \times 193 \]58672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 120280 |
| Euler totient φ(n) | 27648 |
| Square | 3442403584 |
| Cube | 201972703080448 |
| Square root | 242.223038 (= 4√3667) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8672 × |
58672 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand six hundred and seventy-two |
| Binary (base 2) | 1110010100110000 |
| Octal (base 8) | 162460 |
| Hexadecimal (base 16) | E530 |
| Base 3 | 2222111001 |
| As time | 58672 seconds = 16 h 17 min 52 s |
Is 58672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58672 ÷ 2 = 29336) | 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 (58672 ÷ 4 = 14668) | 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 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 | Yes (58672 ÷ 8 = 7334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 58672 a prime number?
No. 58672 = × 19 × 193, so it is divisible by 2.
What are the factors of 58672?
1, 2, 4, 8, 16, 19, 38, 76, 152, 193, 304, 386, 772, 1544, 3088, 3667, 7334, 14668, 29336, 58672.
What is 58672 in binary?
1110010100110000 (hexadecimal E530, octal 162460).
What is the square root of 58672?
About 242.2230, exactly 4√3667.
Is 58672 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58672?
It is a composite number with 20 divisors.