The number 48100
48100 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 37. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 37, 50, 52, 65, 74, 100, 130 … 48100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48100: a Harshad number: divisible by its digit sum 13.
- 2
48100 is composite. Its prime factorisation is
- 3
The divisors add up to 115444; without 48100 itself that is 67344, so 48100 is abundant (67344 is more than 48100). Euler's totient φ(48100) = 17280 numbers up to 48100 share no factor with it.
- 4
The digits of 48100 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48100 = 2^{2} \times 5^{2} \times 13 \times 37 \]48100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 115444 |
| Euler totient φ(n) | 17280 |
| Square | 2313610000 |
| Cube | 111284641000000 |
| Square root | 219.317122 (= 10√481) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.81 × |
48100 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred |
| Binary (base 2) | 1011101111100100 |
| Octal (base 8) | 135744 |
| Hexadecimal (base 16) | BBE4 |
| Base 3 | 2102222111 |
| As time | 48100 seconds = 13 h 21 min 40 s |
Is 48100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48100 ÷ 2 = 24050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48100 ÷ 4 = 12025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48100 ÷ 5 = 9620) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48100 ÷ 10 = 4810) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48100 a prime number?
No. 48100 = × × 13 × 37, so it is divisible by 2.
What are the factors of 48100?
1, 2, 4, 5, 10, 13, 20, 25, 26, 37, 50, 52, 65, 74, 100, 130, 148, 185, 260, 325, 370, 481, 650, 740, 925, 962, 1300, 1850, 1924, 2405, 3700, 4810, 9620, 12025, 24050, 48100.
What is 48100 in binary?
1011101111100100 (hexadecimal BBE4, octal 135744).
What is the square root of 48100?
About 219.3171, exactly 10√481.
Is 48100 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 48100?
48100 is a Harshad number: divisible by its digit sum 13.