The number 67149
67149 is a composite number with 10 divisors. Its prime factorisation is × 829. Divisors (10): 1, 3, 9, 27, 81, 829, 2487, 7461, 22383, 67149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67149: a Harshad number: divisible by its digit sum 27.
- 2
67149 is composite. Its prime factorisation is
- 3
The divisors add up to 100430; without 67149 itself that is 33281, so 67149 is deficient (33281 is less than 67149). Euler's totient φ(67149) = 44712 numbers up to 67149 share no factor with it.
- 4
The digits of 67149 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67149 = 3^{4} \times 829 \]67149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 100430 |
| Euler totient φ(n) | 44712 |
| Square | 4508988201 |
| Cube | 302774048708949 |
| Square root | 259.131241 (= 9√829) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7149 × |
67149 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and forty-nine |
| Binary (base 2) | 10000011001001101 |
| Octal (base 8) | 203115 |
| Hexadecimal (base 16) | 1064D |
| Base 3 | 10102010000 |
| As time | 67149 seconds = 18 h 39 min 9 s |
Is 67149 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 (67149 ÷ 3 = 22383) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67149 ÷ 9 = 7461) | 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 | No (remainder 5) | 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 67149 a prime number?
No. 67149 = × 829, so it is divisible by 3.
What are the factors of 67149?
1, 3, 9, 27, 81, 829, 2487, 7461, 22383, 67149.
What is 67149 in binary?
10000011001001101 (hexadecimal 1064D, octal 203115).
What is the square root of 67149?
About 259.1312, exactly 9√829.
Is 67149 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67149?
67149 is a Harshad number: divisible by its digit sum 27.