The number 48211
48211 is a composite number with 4 divisors. Its prime factorisation is 37 × 1303. Divisors (4): 1, 37, 1303, 48211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48211: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1303, the product of two primes.
- 2
48211 is composite. Its prime factorisation is
- 3
The divisors add up to 49552; without 48211 itself that is 1341, so 48211 is deficient (1341 is less than 48211). Euler's totient φ(48211) = 46872 numbers up to 48211 share no factor with it.
- 4
The digits of 48211 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48211 = 37 \times 1303 \]
48211 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49552 |
| Euler totient φ(n) | 46872 |
| Square | 2324300521 |
| Cube | 112056852417931 |
| Square root | 219.570034 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8211 × |
48211 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and eleven |
| Binary (base 2) | 1011110001010011 |
| Octal (base 8) | 136123 |
| Hexadecimal (base 16) | BC53 |
| Base 3 | 2110010121 |
| As time | 48211 seconds = 13 h 23 min 31 s |
Is 48211 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48211 a prime number?
No. 48211 = 37 × 1303, so it is divisible by 37.
What are the factors of 48211?
1, 37, 1303, 48211.
What is 48211 in binary?
1011110001010011 (hexadecimal BC53, octal 136123).
What is the square root of 48211?
About 219.5700.
Is 48211 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48211?
48211 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1303, the product of two primes.