The number 67744
67744 is a composite number with 24 divisors. Its prime factorisation is × 29 × 73. Divisors (24): 1, 2, 4, 8, 16, 29, 32, 58, 73, 116, 146, 232, 292, 464, 584, 928 … 67744.
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How to work it out
- 1
67744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67744 is composite. Its prime factorisation is
- 3
The divisors add up to 139860; without 67744 itself that is 72116, so 67744 is abundant (72116 is more than 67744). Euler's totient φ(67744) = 32256 numbers up to 67744 share no factor with it.
- 4
The digits of 67744 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67744 = 2^{5} \times 29 \times 73 \]67744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139860 |
| Euler totient φ(n) | 32256 |
| Square | 4589249536 |
| Cube | 310894120566784 |
| Square root | 260.276776 (= 4√4234) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7744 × |
67744 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-four |
| Binary (base 2) | 10000100010100000 |
| Octal (base 8) | 204240 |
| Hexadecimal (base 16) | 108A0 |
| Base 3 | 10102221001 |
| As time | 67744 seconds = 18 h 49 min 4 s |
Is 67744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67744 ÷ 2 = 33872) | 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 (67744 ÷ 4 = 16936) | 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 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 | Yes (67744 ÷ 8 = 8468) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67744 a prime number?
No. 67744 = × 29 × 73, so it is divisible by 2.
What are the factors of 67744?
1, 2, 4, 8, 16, 29, 32, 58, 73, 116, 146, 232, 292, 464, 584, 928, 1168, 2117, 2336, 4234, 8468, 16936, 33872, 67744.
What is 67744 in binary?
10000100010100000 (hexadecimal 108A0, octal 204240).
What is the square root of 67744?
About 260.2768, exactly 4√4234.
Is 67744 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67744?
It is a composite number with 24 divisors.