The number 67444
67444 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1297. Divisors (12): 1, 2, 4, 13, 26, 52, 1297, 2594, 5188, 16861, 33722, 67444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67444 is composite. Its prime factorisation is
- 3
The divisors add up to 127204; without 67444 itself that is 59760, so 67444 is deficient (59760 is less than 67444). Euler's totient φ(67444) = 31104 numbers up to 67444 share no factor with it.
- 4
The digits of 67444 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67444 = 2^{2} \times 13 \times 1297 \]67444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127204 |
| Euler totient φ(n) | 31104 |
| Square | 4548693136 |
| Cube | 306782059864384 |
| Square root | 259.699827 (= 2√16861) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7444 × |
67444 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and forty-four |
| Binary (base 2) | 10000011101110100 |
| Octal (base 8) | 203564 |
| Hexadecimal (base 16) | 10774 |
| Base 3 | 10102111221 |
| As time | 67444 seconds = 18 h 44 min 4 s |
Is 67444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67444 ÷ 2 = 33722) | 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 | Yes (67444 ÷ 4 = 16861) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67444 a prime number?
No. 67444 = × 13 × 1297, so it is divisible by 2.
What are the factors of 67444?
1, 2, 4, 13, 26, 52, 1297, 2594, 5188, 16861, 33722, 67444.
What is 67444 in binary?
10000011101110100 (hexadecimal 10774, octal 203564).
What is the square root of 67444?
About 259.6998, exactly 2√16861.
Is 67444 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67444?
67444 is a happy number: repeatedly adding the squares of its digits reaches 1.