The number 53088
53088 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 79. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 53088.
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How to work it out
- 1
What is special about 53088: a Harshad number: divisible by its digit sum 24.
- 2
53088 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 53088 itself that is 108192, so 53088 is abundant (108192 is more than 53088). Euler's totient φ(53088) = 14976 numbers up to 53088 share no factor with it.
- 4
The digits of 53088 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
\[ 53088 = 2^{5} \times 3 \times 7 \times 79 \]53088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 14976 |
| Square | 2818335744 |
| Cube | 149619807977472 |
| Square root | 230.408333 (= 4√3318) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3088 × |
53088 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and eighty-eight |
| Binary (base 2) | 1100111101100000 |
| Octal (base 8) | 147540 |
| Hexadecimal (base 16) | CF60 |
| Base 3 | 2200211020 |
| As time | 53088 seconds = 14 h 44 min 48 s |
Is 53088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53088 ÷ 2 = 26544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53088 ÷ 3 = 17696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53088 ÷ 4 = 13272) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53088 ÷ 6 = 8848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53088 ÷ 7 = 7584) | 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 (53088 ÷ 8 = 6636) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53088 ÷ 12 = 4424) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53088 a prime number?
No. 53088 = × 3 × 7 × 79, so it is divisible by 2.
What are the factors of 53088?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 79, 84, 96, 112, 158, 168, 224, 237, 316, 336, 474, 553, 632, 672, 948, 1106, 1264, 1659, 1896, 2212, 2528, 3318, 3792, 4424, 6636, 7584, 8848, 13272, 17696, 26544, 53088.
What is 53088 in binary?
1100111101100000 (hexadecimal CF60, octal 147540).
What is the square root of 53088?
About 230.4083, exactly 4√3318.
Is 53088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53088?
53088 is a Harshad number: divisible by its digit sum 24.