The number 67700
67700 is a composite number with 18 divisors. Its prime factorisation is × × 677. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 677, 1354, 2708, 3385, 6770, 13540, 16925 … 67700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67700: a Harshad number: divisible by its digit sum 20.
- 2
67700 is composite. Its prime factorisation is
- 3
The divisors add up to 147126; without 67700 itself that is 79426, so 67700 is abundant (79426 is more than 67700). Euler's totient φ(67700) = 27040 numbers up to 67700 share no factor with it.
- 4
The digits of 67700 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67700 = 2^{2} \times 5^{2} \times 677 \]67700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 147126 |
| Euler totient φ(n) | 27040 |
| Square | 4583290000 |
| Cube | 310288733000000 |
| Square root | 260.192237 (= 10√677) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.77 × |
67700 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred |
| Binary (base 2) | 10000100001110100 |
| Octal (base 8) | 204164 |
| Hexadecimal (base 16) | 10874 |
| Base 3 | 10102212102 |
| As time | 67700 seconds = 18 h 48 min 20 s |
Is 67700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67700 ÷ 2 = 33850) | 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 (67700 ÷ 4 = 16925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67700 ÷ 5 = 13540) | 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 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 4) | 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 | Yes (67700 ÷ 10 = 6770) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67700 a prime number?
No. 67700 = × × 677, so it is divisible by 2.
What are the factors of 67700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 677, 1354, 2708, 3385, 6770, 13540, 16925, 33850, 67700.
What is 67700 in binary?
10000100001110100 (hexadecimal 10874, octal 204164).
What is the square root of 67700?
About 260.1922, exactly 10√677.
Is 67700 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67700?
67700 is a Harshad number: divisible by its digit sum 20.