The number 58072
58072 is a composite number with 32 divisors. Its prime factorisation is × 7 × 17 × 61. Divisors (32): 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 61, 68, 119, 122, 136, 238 … 58072.
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How to work it out
- 1
58072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58072 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 58072 itself that is 75848, so 58072 is abundant (75848 is more than 58072). Euler's totient φ(58072) = 23040 numbers up to 58072 share no factor with it.
- 4
The digits of 58072 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58072 = 2^{3} \times 7 \times 17 \times 61 \]58072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 23040 |
| Square | 3372357184 |
| Cube | 195839526389248 |
| Square root | 240.981327 (= 2√14518) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8072 × |
58072 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and seventy-two |
| Binary (base 2) | 1110001011011000 |
| Octal (base 8) | 161330 |
| Hexadecimal (base 16) | E2D8 |
| Base 3 | 2221122211 |
| As time | 58072 seconds = 16 h 7 min 52 s |
Is 58072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58072 ÷ 2 = 29036) | 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 (58072 ÷ 4 = 14518) | 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 | Yes (58072 ÷ 7 = 8296) | 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 (58072 ÷ 8 = 7259) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 58072 a prime number?
No. 58072 = × 7 × 17 × 61, so it is divisible by 2.
What are the factors of 58072?
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 61, 68, 119, 122, 136, 238, 244, 427, 476, 488, 854, 952, 1037, 1708, 2074, 3416, 4148, 7259, 8296, 14518, 29036, 58072.
What is 58072 in binary?
1110001011011000 (hexadecimal E2D8, octal 161330).
What is the square root of 58072?
About 240.9813, exactly 2√14518.
Is 58072 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58072?
It is a composite number with 32 divisors.