The number 88380
88380 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 491. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 88380.
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How to work it out
- 1
88380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88380 is composite. Its prime factorisation is
- 3
The divisors add up to 268632; without 88380 itself that is 180252, so 88380 is abundant (180252 is more than 88380). Euler's totient φ(88380) = 23520 numbers up to 88380 share no factor with it.
- 4
The digits of 88380 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88380 = 2^{2} \times 3^{2} \times 5 \times 491 \]88380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 268632 |
| Euler totient φ(n) | 23520 |
| Square | 7811024400 |
| Cube | 690338336472000 |
| Square root | 297.287739 (= 6√2455) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.838 × |
88380 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand three hundred and eighty |
| Binary (base 2) | 10101100100111100 |
| Octal (base 8) | 254474 |
| Hexadecimal (base 16) | 1593C |
| Base 3 | 11111020100 |
| As time | 88380 seconds = 24 h 33 min 0 s |
Is 88380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88380 ÷ 2 = 44190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88380 ÷ 3 = 29460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88380 ÷ 4 = 22095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88380 ÷ 5 = 17676) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88380 ÷ 6 = 14730) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88380 ÷ 9 = 9820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88380 ÷ 10 = 8838) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88380 ÷ 12 = 7365) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88380 a prime number?
No. 88380 = × × 5 × 491, so it is divisible by 2.
What are the factors of 88380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 491, 982, 1473, 1964, 2455, 2946, 4419, 4910, 5892, 7365, 8838, 9820, 14730, 17676, 22095, 29460, 44190, 88380.
What is 88380 in binary?
10101100100111100 (hexadecimal 1593C, octal 254474).
What is the square root of 88380?
About 297.2877, exactly 6√2455.
Is 88380 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88380?
It is a composite number with 36 divisors.