The number 88720
88720 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1109. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1109, 2218, 4436, 5545, 8872, 11090 … 88720.
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How to work it out
- 1
88720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88720 is composite. Its prime factorisation is
- 3
The divisors add up to 206460; without 88720 itself that is 117740, so 88720 is abundant (117740 is more than 88720). Euler's totient φ(88720) = 35456 numbers up to 88720 share no factor with it.
- 4
The digits of 88720 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88720 = 2^{4} \times 5 \times 1109 \]88720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 206460 |
| Euler totient φ(n) | 35456 |
| Square | 7871238400 |
| Cube | 698336270848000 |
| Square root | 297.859027 (= 4√5545) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.872 × |
88720 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and twenty |
| Binary (base 2) | 10101101010010000 |
| Octal (base 8) | 255220 |
| Hexadecimal (base 16) | 15A90 |
| Base 3 | 11111200221 |
| As time | 88720 seconds = 24 h 38 min 40 s |
Is 88720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88720 ÷ 2 = 44360) | 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 (88720 ÷ 4 = 22180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88720 ÷ 5 = 17744) | 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 2) | 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 (88720 ÷ 8 = 11090) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88720 ÷ 10 = 8872) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88720 a prime number?
No. 88720 = × 5 × 1109, so it is divisible by 2.
What are the factors of 88720?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1109, 2218, 4436, 5545, 8872, 11090, 17744, 22180, 44360, 88720.
What is 88720 in binary?
10101101010010000 (hexadecimal 15A90, octal 255220).
What is the square root of 88720?
About 297.8590, exactly 4√5545.
Is 88720 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88720?
It is a composite number with 20 divisors.