The number 67548
67548 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 433. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732 … 67548.
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How to work it out
- 1
What is special about 67548: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67548 is composite. Its prime factorisation is
- 3
The divisors add up to 170128; without 67548 itself that is 102580, so 67548 is abundant (102580 is more than 67548). Euler's totient φ(67548) = 20736 numbers up to 67548 share no factor with it.
- 4
The digits of 67548 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67548 = 2^{2} \times 3 \times 13 \times 433 \]67548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 170128 |
| Euler totient φ(n) | 20736 |
| Square | 4562732304 |
| Cube | 308203441670592 |
| Square root | 259.899981 (= 2√16887) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7548 × |
67548 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and forty-eight |
| Binary (base 2) | 10000011111011100 |
| Octal (base 8) | 203734 |
| Hexadecimal (base 16) | 107DC |
| Base 3 | 10102122210 |
| As time | 67548 seconds = 18 h 45 min 48 s |
Is 67548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67548 ÷ 2 = 33774) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67548 ÷ 3 = 22516) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67548 ÷ 4 = 16887) | 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 | Yes (67548 ÷ 6 = 11258) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67548 ÷ 12 = 5629) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67548 a prime number?
No. 67548 = × 3 × 13 × 433, so it is divisible by 2.
What are the factors of 67548?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732, 2598, 5196, 5629, 11258, 16887, 22516, 33774, 67548.
What is 67548 in binary?
10000011111011100 (hexadecimal 107DC, octal 203734).
What is the square root of 67548?
About 259.9000, exactly 2√16887.
Is 67548 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67548?
67548 is a happy number: repeatedly adding the squares of its digits reaches 1.