The number 88137
88137 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1399. Divisors (12): 1, 3, 7, 9, 21, 63, 1399, 4197, 9793, 12591, 29379, 88137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88137 is composite. Its prime factorisation is
- 3
The divisors add up to 145600; without 88137 itself that is 57463, so 88137 is deficient (57463 is less than 88137). Euler's totient φ(88137) = 50328 numbers up to 88137 share no factor with it.
- 4
The digits of 88137 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88137 = 3^{2} \times 7 \times 1399 \]88137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145600 |
| Euler totient φ(n) | 50328 |
| Square | 7768130769 |
| Cube | 684659741587353 |
| Square root | 296.878763 (= 3√9793) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.8137 × |
88137 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and thirty-seven |
| Binary (base 2) | 10101100001001001 |
| Octal (base 8) | 254111 |
| Hexadecimal (base 16) | 15849 |
| Base 3 | 11110220100 |
| As time | 88137 seconds = 24 h 28 min 57 s |
Is 88137 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88137 ÷ 3 = 29379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88137 ÷ 7 = 12591) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88137 ÷ 9 = 9793) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88137 a prime number?
No. 88137 = × 7 × 1399, so it is divisible by 3.
What are the factors of 88137?
1, 3, 7, 9, 21, 63, 1399, 4197, 9793, 12591, 29379, 88137.
What is 88137 in binary?
10101100001001001 (hexadecimal 15849, octal 254111).
What is the square root of 88137?
About 296.8788, exactly 3√9793.
Is 88137 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88137?
It is a composite number with 12 divisors.