The number 17749
17749 is a twin prime (17747 and 17749 are both prime) and the 2038th prime number. Its only divisors are 1 and 17749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17749: a twin prime (17747 and 17749 are both prime); the 2038th prime number.
- 2
17749 is prime, so its only factors are 1 and 17749. It is the 2038th prime; the next prime is 17761 and the one before is 17747.
- 3
The divisors add up to 17750; without 17749 itself that is 1, so 17749 is deficient (1 is less than 17749). Euler's totient φ(17749) = 17748 numbers up to 17749 share no factor with it.
- 4
The digits of 17749 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 22 steps to reach 1.
17749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17750 |
| Euler totient φ(n) | 17748 |
| Square | 315027001 |
| Cube | 5591414240749 |
| Square root | 133.225373 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.7749 × |
17749 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand seven hundred and forty-nine |
| Binary (base 2) | 100010101010101 |
| Octal (base 8) | 42525 |
| Hexadecimal (base 16) | 4555 |
| Base 3 | 220100101 |
| As time | 17749 seconds = 4 h 55 min 49 s |
Is 17749 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 17749 a prime number?
Yes. 17749 is divisible only by 1 and itself.
What are the factors of 17749?
1, 17749.
What is 17749 in binary?
100010101010101 (hexadecimal 4555, octal 42525).
What is the square root of 17749?
About 133.2254.
Is 17749 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 17749?
17749 is a twin prime (17747 and 17749 are both prime); the 2038th prime number.