The number 3779
3779 is the 526th prime number. Its only divisors are 1 and 3779.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3779: the 526th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3779 is prime, so its only factors are 1 and 3779. It is the 526th prime; the next prime is 3793 and the one before is 3769.
- 3
The divisors add up to 3780; without 3779 itself that is 1, so 3779 is deficient (1 is less than 3779). Euler's totient φ(3779) = 3778 numbers up to 3779 share no factor with it.
- 4
The digits of 3779 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
3779 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3780 |
| Euler totient φ(n) | 3778 |
| Square | 14280841 |
| Cube | 53967298139 |
| Square root | 61.473572 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.779 × |
3779 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-nine |
| Roman numerals | MMMDCCLXXIX |
| Binary (base 2) | 111011000011 |
| Octal (base 8) | 7303 |
| Hexadecimal (base 16) | EC3 |
| Base 3 | 12011222 |
| As time | 3779 seconds = 1 h 2 min 59 s |
Is 3779 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3779 a prime number?
Yes. 3779 is divisible only by 1 and itself.
What are the factors of 3779?
1, 3779.
What is 3779 in binary?
111011000011 (hexadecimal EC3, octal 7303).
What is the square root of 3779?
About 61.4736.
What is 3779 in Roman numerals?
MMMDCCLXXIX.
Is 3779 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 3779?
3779 is the 526th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.