The number 58272
58272 is a composite number with 24 divisors. Its prime factorisation is × 3 × 607. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 607, 1214, 1821, 2428 … 58272.
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How to work it out
- 1
What is special about 58272: a Harshad number: divisible by its digit sum 24.
- 2
58272 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 58272 itself that is 94944, so 58272 is abundant (94944 is more than 58272). Euler's totient φ(58272) = 19392 numbers up to 58272 share no factor with it.
- 4
The digits of 58272 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58272 = 2^{5} \times 3 \times 607 \]58272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 19392 |
| Square | 3395625984 |
| Cube | 197869917339648 |
| Square root | 241.395940 (= 4√3642) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8272 × |
58272 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and seventy-two |
| Binary (base 2) | 1110001110100000 |
| Octal (base 8) | 161640 |
| Hexadecimal (base 16) | E3A0 |
| Base 3 | 2221221020 |
| As time | 58272 seconds = 16 h 11 min 12 s |
Is 58272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58272 ÷ 2 = 29136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58272 ÷ 3 = 19424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58272 ÷ 4 = 14568) | 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 | Yes (58272 ÷ 6 = 9712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (58272 ÷ 8 = 7284) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58272 ÷ 12 = 4856) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58272 a prime number?
No. 58272 = × 3 × 607, so it is divisible by 2.
What are the factors of 58272?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 607, 1214, 1821, 2428, 3642, 4856, 7284, 9712, 14568, 19424, 29136, 58272.
What is 58272 in binary?
1110001110100000 (hexadecimal E3A0, octal 161640).
What is the square root of 58272?
About 241.3959, exactly 4√3642.
Is 58272 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58272?
58272 is a Harshad number: divisible by its digit sum 24.