The number 67300
67300 is a composite number with 18 divisors. Its prime factorisation is × × 673. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 673, 1346, 2692, 3365, 6730, 13460, 16825 … 67300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67300: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67300 is composite. Its prime factorisation is
- 3
The divisors add up to 146258; without 67300 itself that is 78958, so 67300 is abundant (78958 is more than 67300). Euler's totient φ(67300) = 26880 numbers up to 67300 share no factor with it.
- 4
The digits of 67300 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67300 = 2^{2} \times 5^{2} \times 673 \]67300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 146258 |
| Euler totient φ(n) | 26880 |
| Square | 4529290000 |
| Cube | 304821217000000 |
| Square root | 259.422435 (= 10√673) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.73 × |
67300 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred |
| Binary (base 2) | 10000011011100100 |
| Octal (base 8) | 203344 |
| Hexadecimal (base 16) | 106E4 |
| Base 3 | 10102022121 |
| As time | 67300 seconds = 18 h 41 min 40 s |
Is 67300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67300 ÷ 2 = 33650) | 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 (67300 ÷ 4 = 16825) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67300 ÷ 5 = 13460) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67300 ÷ 10 = 6730) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67300 a prime number?
No. 67300 = × × 673, so it is divisible by 2.
What are the factors of 67300?
1, 2, 4, 5, 10, 20, 25, 50, 100, 673, 1346, 2692, 3365, 6730, 13460, 16825, 33650, 67300.
What is 67300 in binary?
10000011011100100 (hexadecimal 106E4, octal 203344).
What is the square root of 67300?
About 259.4224, exactly 10√673.
Is 67300 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 67300?
67300 is a happy number: repeatedly adding the squares of its digits reaches 1.