The number 67949
67949 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 571. Divisors (8): 1, 7, 17, 119, 571, 3997, 9707, 67949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67949: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67949 is composite. Its prime factorisation is
- 3
The divisors add up to 82368; without 67949 itself that is 14419, so 67949 is deficient (14419 is less than 67949). Euler's totient φ(67949) = 54720 numbers up to 67949 share no factor with it.
- 4
The digits of 67949 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67949 = 7 \times 17 \times 571 \]
67949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82368 |
| Euler totient φ(n) | 54720 |
| Square | 4617066601 |
| Cube | 313725058471349 |
| Square root | 260.670290 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7949 × |
67949 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and forty-nine |
| Binary (base 2) | 10000100101101101 |
| Octal (base 8) | 204555 |
| Hexadecimal (base 16) | 1096D |
| Base 3 | 10110012122 |
| As time | 67949 seconds = 18 h 52 min 29 s |
Is 67949 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67949 ÷ 7 = 9707) | 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 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67949 a prime number?
No. 67949 = 7 × 17 × 571, so it is divisible by 7.
What are the factors of 67949?
1, 7, 17, 119, 571, 3997, 9707, 67949.
What is 67949 in binary?
10000100101101101 (hexadecimal 1096D, octal 204555).
What is the square root of 67949?
About 260.6703.
Is 67949 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 67949?
67949 is a happy number: repeatedly adding the squares of its digits reaches 1.