The number 67749
67749 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 2053. Divisors (8): 1, 3, 11, 33, 2053, 6159, 22583, 67749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67749: a Harshad number: divisible by its digit sum 33.
- 2
67749 is composite. Its prime factorisation is
- 3
The divisors add up to 98592; without 67749 itself that is 30843, so 67749 is deficient (30843 is less than 67749). Euler's totient φ(67749) = 41040 numbers up to 67749 share no factor with it.
- 4
The digits of 67749 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67749 = 3 \times 11 \times 2053 \]
67749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 98592 |
| Euler totient φ(n) | 41040 |
| Square | 4589927001 |
| Cube | 310962964390749 |
| Square root | 260.286381 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.7749 × |
67749 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-nine |
| Binary (base 2) | 10000100010100101 |
| Octal (base 8) | 204245 |
| Hexadecimal (base 16) | 108A5 |
| Base 3 | 10102221020 |
| As time | 67749 seconds = 18 h 49 min 9 s |
Is 67749 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 | Yes (67749 ÷ 3 = 22583) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67749 ÷ 11 = 6159) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67749 a prime number?
No. 67749 = 3 × 11 × 2053, so it is divisible by 3.
What are the factors of 67749?
1, 3, 11, 33, 2053, 6159, 22583, 67749.
What is 67749 in binary?
10000100010100101 (hexadecimal 108A5, octal 204245).
What is the square root of 67749?
About 260.2864.
Is 67749 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67749?
67749 is a Harshad number: divisible by its digit sum 33.