The number 16700
16700 is a composite number with 18 divisors. Its prime factorisation is × × 167. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 167, 334, 668, 835, 1670, 3340, 4175 … 16700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16700: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16700 is composite. Its prime factorisation is
- 3
The divisors add up to 36456; without 16700 itself that is 19756, so 16700 is abundant (19756 is more than 16700). Euler's totient φ(16700) = 6640 numbers up to 16700 share no factor with it.
- 4
The digits of 16700 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16700 = 2^{2} \times 5^{2} \times 167 \]16700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 36456 |
| Euler totient φ(n) | 6640 |
| Square | 278890000 |
| Cube | 4657463000000 |
| Square root | 129.228480 (= 10√167) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.67 × |
16700 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred |
| Binary (base 2) | 100000100111100 |
| Octal (base 8) | 40474 |
| Hexadecimal (base 16) | 413C |
| Base 3 | 211220112 |
| As time | 16700 seconds = 4 h 38 min 20 s |
Is 16700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16700 ÷ 2 = 8350) | 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 | Yes (16700 ÷ 4 = 4175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16700 ÷ 5 = 3340) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16700 ÷ 10 = 1670) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16700 a prime number?
No. 16700 = × × 167, so it is divisible by 2.
What are the factors of 16700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 167, 334, 668, 835, 1670, 3340, 4175, 8350, 16700.
What is 16700 in binary?
100000100111100 (hexadecimal 413C, octal 40474).
What is the square root of 16700?
About 129.2285, exactly 10√167.
Is 16700 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16700?
16700 is a happy number: repeatedly adding the squares of its digits reaches 1.