The number 4999
4999 is the 669th prime number. Its only divisors are 1 and 4999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4999: the 669th prime number.
- 2
4999 is prime, so its only factors are 1 and 4999. It is the 669th prime; the next prime is 5003 and the one before is 4993.
- 3
The divisors add up to 5000; without 4999 itself that is 1, so 4999 is deficient (1 is less than 4999). Euler's totient φ(4999) = 4998 numbers up to 4999 share no factor with it.
- 4
The digits of 4999 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
4999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5000 |
| Euler totient φ(n) | 4998 |
| Square | 24990001 |
| Cube | 124925014999 |
| Square root | 70.703607 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.999 × |
4999 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and ninety-nine |
| Binary (base 2) | 1001110000111 |
| Octal (base 8) | 11607 |
| Hexadecimal (base 16) | 1387 |
| Base 3 | 20212011 |
| As time | 4999 seconds = 1 h 23 min 19 s |
Is 4999 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4999 a prime number?
Yes. 4999 is divisible only by 1 and itself.
What are the factors of 4999?
1, 4999.
What is 4999 in binary?
1001110000111 (hexadecimal 1387, octal 11607).
What is the square root of 4999?
About 70.7036.
Is 4999 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 4999?
4999 is the 669th prime number.