The number 88010
88010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 677. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 677, 1354, 3385, 6770, 8801, 17602, 44005, 88010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88010 is composite. Its prime factorisation is
- 3
The divisors add up to 170856; without 88010 itself that is 82846, so 88010 is deficient (82846 is less than 88010). Euler's totient φ(88010) = 32448 numbers up to 88010 share no factor with it.
- 4
The digits of 88010 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88010 = 2 \times 5 \times 13 \times 677 \]
88010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 170856 |
| Euler totient φ(n) | 32448 |
| Square | 7745760100 |
| Cube | 681704346401000 |
| Square root | 296.664794 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.801 × |
88010 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and ten |
| Binary (base 2) | 10101011111001010 |
| Octal (base 8) | 253712 |
| Hexadecimal (base 16) | 157CA |
| Base 3 | 11110201122 |
| As time | 88010 seconds = 24 h 26 min 50 s |
Is 88010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88010 ÷ 2 = 44005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88010 ÷ 5 = 17602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88010 ÷ 10 = 8801) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88010 a prime number?
No. 88010 = 2 × 5 × 13 × 677, so it is divisible by 2.
What are the factors of 88010?
1, 2, 5, 10, 13, 26, 65, 130, 677, 1354, 3385, 6770, 8801, 17602, 44005, 88010.
What is 88010 in binary?
10101011111001010 (hexadecimal 157CA, octal 253712).
What is the square root of 88010?
About 296.6648.
Is 88010 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 88010?
88010 is a happy number: repeatedly adding the squares of its digits reaches 1.