The number 67000
67000 is a composite number with 32 divisors. Its prime factorisation is × × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250 … 67000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67000 is composite. Its prime factorisation is
- 3
The divisors add up to 159120; without 67000 itself that is 92120, so 67000 is abundant (92120 is more than 67000). Euler's totient φ(67000) = 26400 numbers up to 67000 share no factor with it.
- 4
The digits of 67000 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67000 = 2^{3} \times 5^{3} \times 67 \]67000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 159120 |
| Euler totient φ(n) | 26400 |
| Square | 4489000000 |
| Cube | 300763000000000 |
| Square root | 258.843582 (= 10√670) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7 × |
67000 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand |
| Binary (base 2) | 10000010110111000 |
| Octal (base 8) | 202670 |
| Hexadecimal (base 16) | 105B8 |
| Base 3 | 10101220111 |
| As time | 67000 seconds = 18 h 36 min 40 s |
Is 67000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67000 ÷ 2 = 33500) | 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 | Yes (67000 ÷ 4 = 16750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67000 ÷ 5 = 13400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (67000 ÷ 8 = 8375) | 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 | Yes (67000 ÷ 10 = 6700) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67000 a prime number?
No. 67000 = × × 67, so it is divisible by 2.
What are the factors of 67000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250, 268, 335, 500, 536, 670, 1000, 1340, 1675, 2680, 3350, 6700, 8375, 13400, 16750, 33500, 67000.
What is 67000 in binary?
10000010110111000 (hexadecimal 105B8, octal 202670).
What is the square root of 67000?
About 258.8436, exactly 10√670.
Is 67000 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 67000?
It is a composite number with 32 divisors.