The number 48997
48997 is a composite number with 4 divisors. Its prime factorisation is 13 × 3769. Divisors (4): 1, 13, 3769, 48997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48997: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3769, the product of two primes.
- 2
48997 is composite. Its prime factorisation is
- 3
The divisors add up to 52780; without 48997 itself that is 3783, so 48997 is deficient (3783 is less than 48997). Euler's totient φ(48997) = 45216 numbers up to 48997 share no factor with it.
- 4
The digits of 48997 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48997 = 13 \times 3769 \]
48997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 52780 |
| Euler totient φ(n) | 45216 |
| Square | 2400706009 |
| Cube | 117627392322973 |
| Square root | 221.352660 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8997 × |
48997 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and ninety-seven |
| Binary (base 2) | 1011111101100101 |
| Octal (base 8) | 137545 |
| Hexadecimal (base 16) | BF65 |
| Base 3 | 2111012201 |
| As time | 48997 seconds = 13 h 36 min 37 s |
Is 48997 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 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 1) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48997 a prime number?
No. 48997 = 13 × 3769, so it is divisible by 13.
What are the factors of 48997?
1, 13, 3769, 48997.
What is 48997 in binary?
1011111101100101 (hexadecimal BF65, octal 137545).
What is the square root of 48997?
About 221.3527.
Is 48997 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 48997?
48997 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3769, the product of two primes.