The number 3673
3673 is a twin prime (3671 and 3673 are both prime) and the 513th prime number. Its only divisors are 1 and 3673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3673: a twin prime (3671 and 3673 are both prime); the 513th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3673 is prime, so its only factors are 1 and 3673. It is the 513th prime; the next prime is 3677 and the one before is 3671.
- 3
The divisors add up to 3674; without 3673 itself that is 1, so 3673 is deficient (1 is less than 3673). Euler's totient φ(3673) = 3672 numbers up to 3673 share no factor with it.
- 4
The digits of 3673 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
3673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3674 |
| Euler totient φ(n) | 3672 |
| Square | 13490929 |
| Cube | 49552182217 |
| Square root | 60.605280 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 162 |
| Scientific notation | 3.673 × |
3673 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-three |
| Roman numerals | MMMDCLXXIII |
| Binary (base 2) | 111001011001 |
| Octal (base 8) | 7131 |
| Hexadecimal (base 16) | E59 |
| Base 3 | 12001001 |
| As time | 3673 seconds = 1 h 1 min 13 s |
Is 3673 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 3) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 3673 a prime number?
Yes. 3673 is divisible only by 1 and itself.
What are the factors of 3673?
1, 3673.
What is 3673 in binary?
111001011001 (hexadecimal E59, octal 7131).
What is the square root of 3673?
About 60.6053.
What is 3673 in Roman numerals?
MMMDCLXXIII.
Is 3673 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3673?
3673 is a twin prime (3671 and 3673 are both prime); the 513th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.