The number 48104
48104 is a composite number with 16 divisors. Its prime factorisation is × 7 × 859. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 859, 1718, 3436, 6013, 6872, 12026, 24052, 48104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48104 is composite. Its prime factorisation is
- 3
The divisors add up to 103200; without 48104 itself that is 55096, so 48104 is abundant (55096 is more than 48104). Euler's totient φ(48104) = 20592 numbers up to 48104 share no factor with it.
- 4
The digits of 48104 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48104 = 2^{3} \times 7 \times 859 \]48104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103200 |
| Euler totient φ(n) | 20592 |
| Square | 2313994816 |
| Cube | 111312406628864 |
| Square root | 219.326241 (= 2√12026) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8104 × |
48104 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and four |
| Binary (base 2) | 1011101111101000 |
| Octal (base 8) | 135750 |
| Hexadecimal (base 16) | BBE8 |
| Base 3 | 2102222122 |
| As time | 48104 seconds = 13 h 21 min 44 s |
Is 48104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48104 ÷ 2 = 24052) | 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 | Yes (48104 ÷ 4 = 12026) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48104 ÷ 7 = 6872) | 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 | Yes (48104 ÷ 8 = 6013) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48104 a prime number?
No. 48104 = × 7 × 859, so it is divisible by 2.
What are the factors of 48104?
1, 2, 4, 7, 8, 14, 28, 56, 859, 1718, 3436, 6013, 6872, 12026, 24052, 48104.
What is 48104 in binary?
1011101111101000 (hexadecimal BBE8, octal 135750).
What is the square root of 48104?
About 219.3262, exactly 2√12026.
Is 48104 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48104?
48104 is a happy number: repeatedly adding the squares of its digits reaches 1.