The number 67672
67672 is a composite number with 16 divisors. Its prime factorisation is × 11 × 769. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 769, 1538, 3076, 6152, 8459, 16918, 33836, 67672.
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How to work it out
- 1
67672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67672 is composite. Its prime factorisation is
- 3
The divisors add up to 138600; without 67672 itself that is 70928, so 67672 is abundant (70928 is more than 67672). Euler's totient φ(67672) = 30720 numbers up to 67672 share no factor with it.
- 4
The digits of 67672 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67672 = 2^{3} \times 11 \times 769 \]67672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138600 |
| Euler totient φ(n) | 30720 |
| Square | 4579499584 |
| Cube | 309903895848448 |
| Square root | 260.138425 (= 2√16918) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7672 × |
67672 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and seventy-two |
| Binary (base 2) | 10000100001011000 |
| Octal (base 8) | 204130 |
| Hexadecimal (base 16) | 10858 |
| Base 3 | 10102211101 |
| As time | 67672 seconds = 18 h 47 min 52 s |
Is 67672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67672 ÷ 2 = 33836) | 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 (67672 ÷ 4 = 16918) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (67672 ÷ 8 = 8459) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67672 ÷ 11 = 6152) | 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 67672 a prime number?
No. 67672 = × 11 × 769, so it is divisible by 2.
What are the factors of 67672?
1, 2, 4, 8, 11, 22, 44, 88, 769, 1538, 3076, 6152, 8459, 16918, 33836, 67672.
What is 67672 in binary?
10000100001011000 (hexadecimal 10858, octal 204130).
What is the square root of 67672?
About 260.1384, exactly 2√16918.
Is 67672 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67672?
It is a composite number with 16 divisors.