The number 67633
67633 is a composite number with 4 divisors. Its prime factorisation is 47 × 1439. Divisors (4): 1, 47, 1439, 67633.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67633: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1439, the product of two primes.
- 2
67633 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 67633 itself that is 1487, so 67633 is deficient (1487 is less than 67633). Euler's totient φ(67633) = 66148 numbers up to 67633 share no factor with it.
- 4
The digits of 67633 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67633 = 47 \times 1439 \]
67633 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 66148 |
| Square | 4574222689 |
| Cube | 309368403125137 |
| Square root | 260.063454 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7633 × |
67633 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and thirty-three |
| Binary (base 2) | 10000100000110001 |
| Octal (base 8) | 204061 |
| Hexadecimal (base 16) | 10831 |
| Base 3 | 10102202221 |
| As time | 67633 seconds = 18 h 47 min 13 s |
Is 67633 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 1) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67633 a prime number?
No. 67633 = 47 × 1439, so it is divisible by 47.
What are the factors of 67633?
1, 47, 1439, 67633.
What is 67633 in binary?
10000100000110001 (hexadecimal 10831, octal 204061).
What is the square root of 67633?
About 260.0635.
Is 67633 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67633?
67633 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1439, the product of two primes.