The number 67554
67554 is a composite number with 24 divisors. Its prime factorisation is 2 × × 139. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 139, 162, 243, 278, 417, 486, 834 … 67554.
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How to work it out
- 1
What is special about 67554: a Harshad number: divisible by its digit sum 27.
- 2
67554 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 67554 itself that is 85326, so 67554 is abundant (85326 is more than 67554). Euler's totient φ(67554) = 22356 numbers up to 67554 share no factor with it.
- 4
The digits of 67554 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67554 = 2 \times 3^{5} \times 139 \]67554 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 22356 |
| Square | 4563542916 |
| Cube | 308285578147464 |
| Square root | 259.911523 (= 9√834) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.7554 × |
67554 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and fifty-four |
| Binary (base 2) | 10000011111100010 |
| Octal (base 8) | 203742 |
| Hexadecimal (base 16) | 107E2 |
| Base 3 | 10102200000 |
| As time | 67554 seconds = 18 h 45 min 54 s |
Is 67554 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67554 ÷ 2 = 33777) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67554 ÷ 3 = 22518) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67554 ÷ 6 = 11259) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67554 ÷ 9 = 7506) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67554 a prime number?
No. 67554 = 2 × × 139, so it is divisible by 2.
What are the factors of 67554?
1, 2, 3, 6, 9, 18, 27, 54, 81, 139, 162, 243, 278, 417, 486, 834, 1251, 2502, 3753, 7506, 11259, 22518, 33777, 67554.
What is 67554 in binary?
10000011111100010 (hexadecimal 107E2, octal 203742).
What is the square root of 67554?
About 259.9115, exactly 9√834.
Is 67554 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67554?
67554 is a Harshad number: divisible by its digit sum 27.