The number 8909
8909 is a composite number with 4 divisors. Its prime factorisation is 59 × 151. Divisors (4): 1, 59, 151, 8909.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8909: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 151, the product of two primes.
- 2
8909 is composite. Its prime factorisation is
- 3
The divisors add up to 9120; without 8909 itself that is 211, so 8909 is deficient (211 is less than 8909). Euler's totient φ(8909) = 8700 numbers up to 8909 share no factor with it.
- 4
The digits of 8909 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8909 = 59 \times 151 \]
8909 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9120 |
| Euler totient φ(n) | 8700 |
| Square | 79370281 |
| Cube | 707109833429 |
| Square root | 94.387499 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.909 × |
8909 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and nine |
| Binary (base 2) | 10001011001101 |
| Octal (base 8) | 21315 |
| Hexadecimal (base 16) | 22CD |
| Base 3 | 110012222 |
| As time | 8909 seconds = 2 h 28 min 29 s |
Is 8909 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 | No (remainder 2) | 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 5) | 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 5) | 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 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8909 a prime number?
No. 8909 = 59 × 151, so it is divisible by 59.
What are the factors of 8909?
1, 59, 151, 8909.
What is 8909 in binary?
10001011001101 (hexadecimal 22CD, octal 21315).
What is the square root of 8909?
About 94.3875.
Is 8909 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8909?
8909 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 151, the product of two primes.