The number 3499
3499 is the 489th prime number. Its only divisors are 1 and 3499.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3499: the 489th prime number.
- 2
3499 is prime, so its only factors are 1 and 3499. It is the 489th prime; the next prime is 3511 and the one before is 3491.
- 3
The divisors add up to 3500; without 3499 itself that is 1, so 3499 is deficient (1 is less than 3499). Euler's totient φ(3499) = 3498 numbers up to 3499 share no factor with it.
- 4
The digits of 3499 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
3499 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3500 |
| Euler totient φ(n) | 3498 |
| Square | 12243001 |
| Cube | 42838260499 |
| Square root | 59.152346 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.499 × |
3499 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-nine |
| Roman numerals | MMMCDXCIX |
| Binary (base 2) | 110110101011 |
| Octal (base 8) | 6653 |
| Hexadecimal (base 16) | DAB |
| Base 3 | 11210121 |
| As time | 3499 seconds = 58 min 19 s |
Is 3499 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 3499 a prime number?
Yes. 3499 is divisible only by 1 and itself.
What are the factors of 3499?
1, 3499.
What is 3499 in binary?
110110101011 (hexadecimal DAB, octal 6653).
What is the square root of 3499?
About 59.1523.
What is 3499 in Roman numerals?
MMMCDXCIX.
Is 3499 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3499?
3499 is the 489th prime number.