The number 16627
16627 is a composite number with 4 divisors. Its prime factorisation is 13 × 1279. Divisors (4): 1, 13, 1279, 16627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16627: a semiprime: 13 × 1279, the product of two primes.
- 2
16627 is composite. Its prime factorisation is
- 3
The divisors add up to 17920; without 16627 itself that is 1293, so 16627 is deficient (1293 is less than 16627). Euler's totient φ(16627) = 15336 numbers up to 16627 share no factor with it.
- 4
The digits of 16627 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16627 = 13 \times 1279 \]
16627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17920 |
| Euler totient φ(n) | 15336 |
| Square | 276457129 |
| Cube | 4596652683883 |
| Square root | 128.945725 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6627 × |
16627 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and twenty-seven |
| Binary (base 2) | 100000011110011 |
| Octal (base 8) | 40363 |
| Hexadecimal (base 16) | 40F3 |
| Base 3 | 211210211 |
| As time | 16627 seconds = 4 h 37 min 7 s |
Is 16627 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 16627 a prime number?
No. 16627 = 13 × 1279, so it is divisible by 13.
What are the factors of 16627?
1, 13, 1279, 16627.
What is 16627 in binary?
100000011110011 (hexadecimal 40F3, octal 40363).
What is the square root of 16627?
About 128.9457.
Is 16627 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16627?
16627 is a semiprime: 13 × 1279, the product of two primes.