The number 48909
48909 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 137. Divisors (16): 1, 3, 7, 17, 21, 51, 119, 137, 357, 411, 959, 2329, 2877, 6987, 16303, 48909.
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How to work it out
- 1
48909 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48909 is composite. Its prime factorisation is
- 3
The divisors add up to 79488; without 48909 itself that is 30579, so 48909 is deficient (30579 is less than 48909). Euler's totient φ(48909) = 26112 numbers up to 48909 share no factor with it.
- 4
The digits of 48909 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48909 = 3 \times 7 \times 17 \times 137 \]
48909 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79488 |
| Euler totient φ(n) | 26112 |
| Square | 2392090281 |
| Cube | 116994743553429 |
| Square root | 221.153793 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8909 × |
48909 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and nine |
| Binary (base 2) | 1011111100001101 |
| Octal (base 8) | 137415 |
| Hexadecimal (base 16) | BF0D |
| Base 3 | 2111002110 |
| As time | 48909 seconds = 13 h 35 min 9 s |
Is 48909 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 (48909 ÷ 3 = 16303) | 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 | Yes (48909 ÷ 7 = 6987) | 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 3) | 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 3) | 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 48909 a prime number?
No. 48909 = 3 × 7 × 17 × 137, so it is divisible by 3.
What are the factors of 48909?
1, 3, 7, 17, 21, 51, 119, 137, 357, 411, 959, 2329, 2877, 6987, 16303, 48909.
What is 48909 in binary?
1011111100001101 (hexadecimal BF0D, octal 137415).
What is the square root of 48909?
About 221.1538.
Is 48909 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48909?
It is a composite number with 16 divisors.