The number 88012
88012 is a composite number with 6 divisors. Its prime factorisation is × 22003. Divisors (6): 1, 2, 4, 22003, 44006, 88012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88012 is composite. Its prime factorisation is
- 3
The divisors add up to 154028; without 88012 itself that is 66016, so 88012 is deficient (66016 is less than 88012). Euler's totient φ(88012) = 44004 numbers up to 88012 share no factor with it.
- 4
The digits of 88012 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88012 = 2^{2} \times 22003 \]88012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 154028 |
| Euler totient φ(n) | 44004 |
| Square | 7746112144 |
| Cube | 681750822017728 |
| Square root | 296.668165 (= 2√22003) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8012 × |
88012 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twelve |
| Binary (base 2) | 10101011111001100 |
| Octal (base 8) | 253714 |
| Hexadecimal (base 16) | 157CC |
| Base 3 | 11110201201 |
| As time | 88012 seconds = 24 h 26 min 52 s |
Is 88012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88012 ÷ 2 = 44006) | 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 (88012 ÷ 4 = 22003) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 88012 a prime number?
No. 88012 = × 22003, so it is divisible by 2.
What are the factors of 88012?
1, 2, 4, 22003, 44006, 88012.
What is 88012 in binary?
10101011111001100 (hexadecimal 157CC, octal 253714).
What is the square root of 88012?
About 296.6682, exactly 2√22003.
Is 88012 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 88012?
88012 is a happy number: repeatedly adding the squares of its digits reaches 1.