The number 67048
67048 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986 … 67048.
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How to work it out
- 1
67048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67048 is composite. Its prime factorisation is
- 3
The divisors add up to 138150; without 67048 itself that is 71102, so 67048 is abundant (71102 is more than 67048). Euler's totient φ(67048) = 30464 numbers up to 67048 share no factor with it.
- 4
The digits of 67048 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67048 = 2^{3} \times 17^{2} \times 29 \]67048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 138150 |
| Euler totient φ(n) | 30464 |
| Square | 4495434304 |
| Cube | 301409879214592 |
| Square root | 258.936286 (= 34√58) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7048 × |
67048 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and forty-eight |
| Binary (base 2) | 10000010111101000 |
| Octal (base 8) | 202750 |
| Hexadecimal (base 16) | 105E8 |
| Base 3 | 10101222021 |
| As time | 67048 seconds = 18 h 37 min 28 s |
Is 67048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67048 ÷ 2 = 33524) | 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 (67048 ÷ 4 = 16762) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 (67048 ÷ 8 = 8381) | 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 8) | 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 67048 a prime number?
No. 67048 = × × 29, so it is divisible by 2.
What are the factors of 67048?
1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524, 67048.
What is 67048 in binary?
10000010111101000 (hexadecimal 105E8, octal 202750).
What is the square root of 67048?
About 258.9363, exactly 34√58.
Is 67048 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67048?
It is a composite number with 24 divisors.