The number 48137
48137 is a composite number with 4 divisors. Its prime factorisation is 37 × 1301. Divisors (4): 1, 37, 1301, 48137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1301, the product of two primes.
- 2
48137 is composite. Its prime factorisation is
- 3
The divisors add up to 49476; without 48137 itself that is 1339, so 48137 is deficient (1339 is less than 48137). Euler's totient φ(48137) = 46800 numbers up to 48137 share no factor with it.
- 4
The digits of 48137 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48137 = 37 \times 1301 \]
48137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49476 |
| Euler totient φ(n) | 46800 |
| Square | 2317170769 |
| Cube | 111541649307353 |
| Square root | 219.401459 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8137 × |
48137 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and thirty-seven |
| Binary (base 2) | 1011110000001001 |
| Octal (base 8) | 136011 |
| Hexadecimal (base 16) | BC09 |
| Base 3 | 2110000212 |
| As time | 48137 seconds = 13 h 22 min 17 s |
Is 48137 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 2) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48137 a prime number?
No. 48137 = 37 × 1301, so it is divisible by 37.
What are the factors of 48137?
1, 37, 1301, 48137.
What is 48137 in binary?
1011110000001001 (hexadecimal BC09, octal 136011).
What is the square root of 48137?
About 219.4015.
Is 48137 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48137?
48137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1301, the product of two primes.