The number 3607
3607 is the 504th prime number. Its only divisors are 1 and 3607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3607: the 504th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3607 is prime, so its only factors are 1 and 3607. It is the 504th prime; the next prime is 3613 and the one before is 3593.
- 3
The divisors add up to 3608; without 3607 itself that is 1, so 3607 is deficient (1 is less than 3607). Euler's totient φ(3607) = 3606 numbers up to 3607 share no factor with it.
- 4
The digits of 3607 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3607 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3608 |
| Euler totient φ(n) | 3606 |
| Square | 13010449 |
| Cube | 46928689543 |
| Square root | 60.058305 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.607 × |
3607 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seven |
| Roman numerals | MMMDCVII |
| Binary (base 2) | 111000010111 |
| Octal (base 8) | 7027 |
| Hexadecimal (base 16) | E17 |
| Base 3 | 11221121 |
| As time | 3607 seconds = 1 h 0 min 7 s |
Is 3607 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 2) | 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 2) | 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 7) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3607 a prime number?
Yes. 3607 is divisible only by 1 and itself.
What are the factors of 3607?
1, 3607.
What is 3607 in binary?
111000010111 (hexadecimal E17, octal 7027).
What is the square root of 3607?
About 60.0583.
What is 3607 in Roman numerals?
MMMDCVII.
Is 3607 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3607?
3607 is the 504th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.