The number 67552
67552 is a composite number with 12 divisors. Its prime factorisation is × 2111. Divisors (12): 1, 2, 4, 8, 16, 32, 2111, 4222, 8444, 16888, 33776, 67552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67552 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 67552 itself that is 65504, so 67552 is deficient (65504 is less than 67552). Euler's totient φ(67552) = 33760 numbers up to 67552 share no factor with it.
- 4
The digits of 67552 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67552 = 2^{5} \times 2111 \]67552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 33760 |
| Square | 4563272704 |
| Cube | 308258197700608 |
| Square root | 259.907676 (= 4√4222) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.7552 × |
67552 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and fifty-two |
| Binary (base 2) | 10000011111100000 |
| Octal (base 8) | 203740 |
| Hexadecimal (base 16) | 107E0 |
| Base 3 | 10102122221 |
| As time | 67552 seconds = 18 h 45 min 52 s |
Is 67552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67552 ÷ 2 = 33776) | 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 (67552 ÷ 4 = 16888) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (67552 ÷ 8 = 8444) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 67552 a prime number?
No. 67552 = × 2111, so it is divisible by 2.
What are the factors of 67552?
1, 2, 4, 8, 16, 32, 2111, 4222, 8444, 16888, 33776, 67552.
What is 67552 in binary?
10000011111100000 (hexadecimal 107E0, octal 203740).
What is the square root of 67552?
About 259.9077, exactly 4√4222.
Is 67552 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67552?
67552 is a happy number: repeatedly adding the squares of its digits reaches 1.