The number 3769
3769 is a twin prime (3767 and 3769 are both prime) and the 525th prime number. Its only divisors are 1 and 3769.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3769: a twin prime (3767 and 3769 are both prime); the 525th prime number.
- 2
3769 is prime, so its only factors are 1 and 3769. It is the 525th prime; the next prime is 3779 and the one before is 3767.
- 3
The divisors add up to 3770; without 3769 itself that is 1, so 3769 is deficient (1 is less than 3769). Euler's totient φ(3769) = 3768 numbers up to 3769 share no factor with it.
- 4
The digits of 3769 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 113 steps to reach 1.
3769 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3770 |
| Euler totient φ(n) | 3768 |
| Square | 14205361 |
| Cube | 53540005609 |
| Square root | 61.392182 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 113 |
| Scientific notation | 3.769 × |
3769 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-nine |
| Roman numerals | MMMDCCLXIX |
| Binary (base 2) | 111010111001 |
| Octal (base 8) | 7271 |
| Hexadecimal (base 16) | EB9 |
| Base 3 | 12011121 |
| As time | 3769 seconds = 1 h 2 min 49 s |
Is 3769 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 3) | 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 1) | 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 7) | 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 3769 a prime number?
Yes. 3769 is divisible only by 1 and itself.
What are the factors of 3769?
1, 3769.
What is 3769 in binary?
111010111001 (hexadecimal EB9, octal 7271).
What is the square root of 3769?
About 61.3922.
What is 3769 in Roman numerals?
MMMDCCLXIX.
Is 3769 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3769?
3769 is a twin prime (3767 and 3769 are both prime); the 525th prime number.