The number 88002
88002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4889. Divisors (12): 1, 2, 3, 6, 9, 18, 4889, 9778, 14667, 29334, 44001, 88002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88002: a Harshad number: divisible by its digit sum 18.
- 2
88002 is composite. Its prime factorisation is
- 3
The divisors add up to 190710; without 88002 itself that is 102708, so 88002 is abundant (102708 is more than 88002). Euler's totient φ(88002) = 29328 numbers up to 88002 share no factor with it.
- 4
The digits of 88002 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88002 = 2 \times 3^{2} \times 4889 \]88002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 190710 |
| Euler totient φ(n) | 29328 |
| Square | 7744352004 |
| Cube | 681518465056008 |
| Square root | 296.651310 (= 3√9778) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8002 × |
88002 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and two |
| Binary (base 2) | 10101011111000010 |
| Octal (base 8) | 253702 |
| Hexadecimal (base 16) | 157C2 |
| Base 3 | 11110201100 |
| As time | 88002 seconds = 24 h 26 min 42 s |
Is 88002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88002 ÷ 2 = 44001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88002 ÷ 3 = 29334) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88002 ÷ 6 = 14667) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (88002 ÷ 9 = 9778) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88002 a prime number?
No. 88002 = 2 × × 4889, so it is divisible by 2.
What are the factors of 88002?
1, 2, 3, 6, 9, 18, 4889, 9778, 14667, 29334, 44001, 88002.
What is 88002 in binary?
10101011111000010 (hexadecimal 157C2, octal 253702).
What is the square root of 88002?
About 296.6513, exactly 3√9778.
Is 88002 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 88002?
88002 is a Harshad number: divisible by its digit sum 18.