The number 88113
88113 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 1277. Divisors (8): 1, 3, 23, 69, 1277, 3831, 29371, 88113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88113: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88113 is composite. Its prime factorisation is
- 3
The divisors add up to 122688; without 88113 itself that is 34575, so 88113 is deficient (34575 is less than 88113). Euler's totient φ(88113) = 56144 numbers up to 88113 share no factor with it.
- 4
The digits of 88113 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88113 = 3 \times 23 \times 1277 \]
88113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 122688 |
| Euler totient φ(n) | 56144 |
| Square | 7763900769 |
| Cube | 684100588458897 |
| Square root | 296.838340 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8113 × |
88113 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and thirteen |
| Binary (base 2) | 10101100000110001 |
| Octal (base 8) | 254061 |
| Hexadecimal (base 16) | 15831 |
| Base 3 | 11110212110 |
| As time | 88113 seconds = 24 h 28 min 33 s |
Is 88113 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 (88113 ÷ 3 = 29371) | 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 3) | 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 | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 88113 a prime number?
No. 88113 = 3 × 23 × 1277, so it is divisible by 3.
What are the factors of 88113?
1, 3, 23, 69, 1277, 3831, 29371, 88113.
What is 88113 in binary?
10101100000110001 (hexadecimal 15831, octal 254061).
What is the square root of 88113?
About 296.8383.
Is 88113 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88113?
88113 is a happy number: repeatedly adding the squares of its digits reaches 1.