The number 67249
67249 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 739. Divisors (8): 1, 7, 13, 91, 739, 5173, 9607, 67249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67249 is composite. Its prime factorisation is
- 3
The divisors add up to 82880; without 67249 itself that is 15631, so 67249 is deficient (15631 is less than 67249). Euler's totient φ(67249) = 53136 numbers up to 67249 share no factor with it.
- 4
The digits of 67249 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67249 = 7 \times 13 \times 739 \]
67249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82880 |
| Euler totient φ(n) | 53136 |
| Square | 4522428001 |
| Cube | 304128760639249 |
| Square root | 259.324122 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7249 × |
67249 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and forty-nine |
| Binary (base 2) | 10000011010110001 |
| Octal (base 8) | 203261 |
| Hexadecimal (base 16) | 106B1 |
| Base 3 | 10102020201 |
| As time | 67249 seconds = 18 h 40 min 49 s |
Is 67249 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67249 ÷ 7 = 9607) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67249 a prime number?
No. 67249 = 7 × 13 × 739, so it is divisible by 7.
What are the factors of 67249?
1, 7, 13, 91, 739, 5173, 9607, 67249.
What is 67249 in binary?
10000011010110001 (hexadecimal 106B1, octal 203261).
What is the square root of 67249?
About 259.3241.
Is 67249 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67249?
It is a composite number with 8 divisors.