The number 30888
30888 is a composite number with 64 divisors. Its prime factorisation is × × 11 × 13. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 27, 33 … 30888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30888: a Harshad number: divisible by its digit sum 27.
- 2
30888 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 30888 itself that is 69912, so 30888 is abundant (69912 is more than 30888). Euler's totient φ(30888) = 8640 numbers up to 30888 share no factor with it.
- 4
The digits of 30888 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30888 = 2^{3} \times 3^{3} \times 11 \times 13 \]30888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 8640 |
| Square | 954068544 |
| Cube | 29469269187072 |
| Square root | 175.749822 (= 6√858) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.0888 × |
30888 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand eight hundred and eighty-eight |
| Binary (base 2) | 111100010101000 |
| Octal (base 8) | 74250 |
| Hexadecimal (base 16) | 78A8 |
| Base 3 | 1120101000 |
| As time | 30888 seconds = 8 h 34 min 48 s |
Is 30888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30888 ÷ 2 = 15444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30888 ÷ 3 = 10296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30888 ÷ 4 = 7722) | 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 (30888 ÷ 6 = 5148) | 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 (30888 ÷ 8 = 3861) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30888 ÷ 9 = 3432) | 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 | Yes (30888 ÷ 11 = 2808) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30888 ÷ 12 = 2574) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30888 a prime number?
No. 30888 = × × 11 × 13, so it is divisible by 2.
What are the factors of 30888?
1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 27, 33, 36, 39, 44, 52, 54, 66, 72, 78, 88, 99, 104, 108, 117, 132, 143, 156, 198, 216, 234, 264, 286, 297, 312, 351, 396, 429, 468, 572, 594, 702, 792, 858, 936, 1144, 1188, 1287, 1404, 1716, 2376, 2574, 2808, 3432, 3861, 5148, 7722, 10296, 15444, 30888.
What is 30888 in binary?
111100010101000 (hexadecimal 78A8, octal 74250).
What is the square root of 30888?
About 175.7498, exactly 6√858.
Is 30888 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 30888?
30888 is a Harshad number: divisible by its digit sum 27.