The number 48113
48113 is a composite number with 4 divisors. Its prime factorisation is 13 × 3701. Divisors (4): 1, 13, 3701, 48113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48113: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3701, the product of two primes.
- 2
48113 is composite. Its prime factorisation is
- 3
The divisors add up to 51828; without 48113 itself that is 3715, so 48113 is deficient (3715 is less than 48113). Euler's totient φ(48113) = 44400 numbers up to 48113 share no factor with it.
- 4
The digits of 48113 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
\[ 48113 = 13 \times 3701 \]
48113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 51828 |
| Euler totient φ(n) | 44400 |
| Square | 2314860769 |
| Cube | 111374896178897 |
| Square root | 219.346757 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8113 × |
48113 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and thirteen |
| Binary (base 2) | 1011101111110001 |
| Octal (base 8) | 135761 |
| Hexadecimal (base 16) | BBF1 |
| Base 3 | 2102222222 |
| As time | 48113 seconds = 13 h 21 min 53 s |
Is 48113 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 3) | 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 48113 a prime number?
No. 48113 = 13 × 3701, so it is divisible by 13.
What are the factors of 48113?
1, 13, 3701, 48113.
What is 48113 in binary?
1011101111110001 (hexadecimal BBF1, octal 135761).
What is the square root of 48113?
About 219.3468.
Is 48113 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48113?
48113 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3701, the product of two primes.