The number 4996
4996 is a composite number with 6 divisors. Its prime factorisation is × 1249. Divisors (6): 1, 2, 4, 1249, 2498, 4996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4996 is composite. Its prime factorisation is
- 3
The divisors add up to 8750; without 4996 itself that is 3754, so 4996 is deficient (3754 is less than 4996). Euler's totient φ(4996) = 2496 numbers up to 4996 share no factor with it.
- 4
The digits of 4996 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4996 = 2^{2} \times 1249 \]4996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8750 |
| Euler totient φ(n) | 2496 |
| Square | 24960016 |
| Cube | 124700239936 |
| Square root | 70.682388 (= 2√1249) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 178 |
| Scientific notation | 4.996 × |
4996 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and ninety-six |
| Binary (base 2) | 1001110000100 |
| Octal (base 8) | 11604 |
| Hexadecimal (base 16) | 1384 |
| Base 3 | 20212001 |
| As time | 4996 seconds = 1 h 23 min 16 s |
Is 4996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4996 ÷ 2 = 2498) | 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 | Yes (4996 ÷ 4 = 1249) | 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 4) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4996 a prime number?
No. 4996 = × 1249, so it is divisible by 2.
What are the factors of 4996?
1, 2, 4, 1249, 2498, 4996.
What is 4996 in binary?
1001110000100 (hexadecimal 1384, octal 11604).
What is the square root of 4996?
About 70.6824, exactly 2√1249.
Is 4996 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 4996?
It is a composite number with 6 divisors.