The number 4997
4997 is a composite number with 4 divisors. Its prime factorisation is 19 × 263. Divisors (4): 1, 19, 263, 4997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4997: a semiprime: 19 × 263, the product of two primes.
- 2
4997 is composite. Its prime factorisation is
- 3
The divisors add up to 5280; without 4997 itself that is 283, so 4997 is deficient (283 is less than 4997). Euler's totient φ(4997) = 4716 numbers up to 4997 share no factor with it.
- 4
The digits of 4997 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4997 = 19 \times 263 \]
4997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5280 |
| Euler totient φ(n) | 4716 |
| Square | 24970009 |
| Cube | 124775134973 |
| Square root | 70.689462 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 178 |
| Scientific notation | 4.997 × |
4997 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and ninety-seven |
| Binary (base 2) | 1001110000101 |
| Octal (base 8) | 11605 |
| Hexadecimal (base 16) | 1385 |
| Base 3 | 20212002 |
| As time | 4997 seconds = 1 h 23 min 17 s |
Is 4997 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 6) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4997 a prime number?
No. 4997 = 19 × 263, so it is divisible by 19.
What are the factors of 4997?
1, 19, 263, 4997.
What is 4997 in binary?
1001110000101 (hexadecimal 1385, octal 11605).
What is the square root of 4997?
About 70.6895.
Is 4997 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 4997?
4997 is a semiprime: 19 × 263, the product of two primes.