The number 67472
67472 is a composite number with 10 divisors. Its prime factorisation is × 4217. Divisors (10): 1, 2, 4, 8, 16, 4217, 8434, 16868, 33736, 67472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67472 is composite. Its prime factorisation is
- 3
The divisors add up to 130758; without 67472 itself that is 63286, so 67472 is deficient (63286 is less than 67472). Euler's totient φ(67472) = 33728 numbers up to 67472 share no factor with it.
- 4
The digits of 67472 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67472 = 2^{4} \times 4217 \]67472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 130758 |
| Euler totient φ(n) | 33728 |
| Square | 4552470784 |
| Cube | 307164308738048 |
| Square root | 259.753730 (= 4√4217) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7472 × |
67472 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 10000011110010000 |
| Octal (base 8) | 203620 |
| Hexadecimal (base 16) | 10790 |
| Base 3 | 10102112222 |
| As time | 67472 seconds = 18 h 44 min 32 s |
Is 67472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67472 ÷ 2 = 33736) | 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 | Yes (67472 ÷ 4 = 16868) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (67472 ÷ 8 = 8434) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67472 a prime number?
No. 67472 = × 4217, so it is divisible by 2.
What are the factors of 67472?
1, 2, 4, 8, 16, 4217, 8434, 16868, 33736, 67472.
What is 67472 in binary?
10000011110010000 (hexadecimal 10790, octal 203620).
What is the square root of 67472?
About 259.7537, exactly 4√4217.
Is 67472 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67472?
It is a composite number with 10 divisors.