The number 88144
88144 is a composite number with 20 divisors. Its prime factorisation is × 7 × 787. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 787, 1574, 3148, 5509, 6296, 11018 … 88144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88144 is composite. Its prime factorisation is
- 3
The divisors add up to 195424; without 88144 itself that is 107280, so 88144 is abundant (107280 is more than 88144). Euler's totient φ(88144) = 37728 numbers up to 88144 share no factor with it.
- 4
The digits of 88144 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88144 = 2^{4} \times 7 \times 787 \]88144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 195424 |
| Euler totient φ(n) | 37728 |
| Square | 7769364736 |
| Cube | 684822885289984 |
| Square root | 296.890552 (= 4√5509) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.8144 × |
88144 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and forty-four |
| Binary (base 2) | 10101100001010000 |
| Octal (base 8) | 254120 |
| Hexadecimal (base 16) | 15850 |
| Base 3 | 11110220121 |
| As time | 88144 seconds = 24 h 29 min 4 s |
Is 88144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88144 ÷ 2 = 44072) | 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 (88144 ÷ 4 = 22036) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (88144 ÷ 7 = 12592) | 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 (88144 ÷ 8 = 11018) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 88144 a prime number?
No. 88144 = × 7 × 787, so it is divisible by 2.
What are the factors of 88144?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 787, 1574, 3148, 5509, 6296, 11018, 12592, 22036, 44072, 88144.
What is 88144 in binary?
10101100001010000 (hexadecimal 15850, octal 254120).
What is the square root of 88144?
About 296.8906, exactly 4√5509.
Is 88144 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88144?
It is a composite number with 20 divisors.