The number 48101
48101 is a composite number with 4 divisors. Its prime factorisation is 103 × 467. Divisors (4): 1, 103, 467, 48101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48101: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 467, the product of two primes.
- 2
48101 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 48101 itself that is 571, so 48101 is deficient (571 is less than 48101). Euler's totient φ(48101) = 47532 numbers up to 48101 share no factor with it.
- 4
The digits of 48101 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48101 = 103 \times 467 \]
48101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 47532 |
| Square | 2313706201 |
| Cube | 111291581974301 |
| Square root | 219.319402 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8101 × |
48101 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and one |
| Binary (base 2) | 1011101111100101 |
| Octal (base 8) | 135745 |
| Hexadecimal (base 16) | BBE5 |
| Base 3 | 2102222112 |
| As time | 48101 seconds = 13 h 21 min 41 s |
Is 48101 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 1) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48101 a prime number?
No. 48101 = 103 × 467, so it is divisible by 103.
What are the factors of 48101?
1, 103, 467, 48101.
What is 48101 in binary?
1011101111100101 (hexadecimal BBE5, octal 135745).
What is the square root of 48101?
About 219.3194.
Is 48101 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 48101?
48101 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 467, the product of two primes.