The number 99009
99009 is a composite number with 16 divisors. Its prime factorisation is × 19 × 193. Divisors (16): 1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003, 99009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99009: a Harshad number: divisible by its digit sum 27.
- 2
99009 is composite. Its prime factorisation is
- 3
The divisors add up to 155200; without 99009 itself that is 56191, so 99009 is deficient (56191 is less than 99009). Euler's totient φ(99009) = 62208 numbers up to 99009 share no factor with it.
- 4
The digits of 99009 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99009 = 3^{3} \times 19 \times 193 \]99009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155200 |
| Euler totient φ(n) | 62208 |
| Square | 9802782081 |
| Cube | 970563651057729 |
| Square root | 314.656956 (= 3√11001) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.9009 × |
99009 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand and nine |
| Binary (base 2) | 11000001011000001 |
| Octal (base 8) | 301301 |
| Hexadecimal (base 16) | 182C1 |
| Base 3 | 12000211000 |
| As time | 99009 seconds = 27 h 30 min 9 s |
Is 99009 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 (99009 ÷ 3 = 33003) | 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 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (99009 ÷ 9 = 11001) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 99009 a prime number?
No. 99009 = × 19 × 193, so it is divisible by 3.
What are the factors of 99009?
1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003, 99009.
What is 99009 in binary?
11000001011000001 (hexadecimal 182C1, octal 301301).
What is the square root of 99009?
About 314.6570, exactly 3√11001.
Is 99009 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 99009?
99009 is a Harshad number: divisible by its digit sum 27.