The number 16607
16607 is the 1921st prime number. Its only divisors are 1 and 16607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16607: the 1921st prime number.
- 2
16607 is prime, so its only factors are 1 and 16607. It is the 1921st prime; the next prime is 16619 and the one before is 16603.
- 3
The divisors add up to 16608; without 16607 itself that is 1, so 16607 is deficient (1 is less than 16607). Euler's totient φ(16607) = 16606 numbers up to 16607 share no factor with it.
- 4
The digits of 16607 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
16607 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16608 |
| Euler totient φ(n) | 16606 |
| Square | 275792449 |
| Cube | 4580085200543 |
| Square root | 128.868150 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6607 × |
16607 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and seven |
| Binary (base 2) | 100000011011111 |
| Octal (base 8) | 40337 |
| Hexadecimal (base 16) | 40DF |
| Base 3 | 211210002 |
| As time | 16607 seconds = 4 h 36 min 47 s |
Is 16607 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 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 16607 a prime number?
Yes. 16607 is divisible only by 1 and itself.
What are the factors of 16607?
1, 16607.
What is 16607 in binary?
100000011011111 (hexadecimal 40DF, octal 40337).
What is the square root of 16607?
About 128.8681.
Is 16607 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16607?
16607 is the 1921st prime number.