The number 67372
67372 is a composite number with 6 divisors. Its prime factorisation is × 16843. Divisors (6): 1, 2, 4, 16843, 33686, 67372.
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How to work it out
- 1
67372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67372 is composite. Its prime factorisation is
- 3
The divisors add up to 117908; without 67372 itself that is 50536, so 67372 is deficient (50536 is less than 67372). Euler's totient φ(67372) = 33684 numbers up to 67372 share no factor with it.
- 4
The digits of 67372 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67372 = 2^{2} \times 16843 \]67372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 117908 |
| Euler totient φ(n) | 33684 |
| Square | 4538986384 |
| Cube | 305800590662848 |
| Square root | 259.561168 (= 2√16843) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7372 × |
67372 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and seventy-two |
| Binary (base 2) | 10000011100101100 |
| Octal (base 8) | 203454 |
| Hexadecimal (base 16) | 1072C |
| Base 3 | 10102102021 |
| As time | 67372 seconds = 18 h 42 min 52 s |
Is 67372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67372 ÷ 2 = 33686) | 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 (67372 ÷ 4 = 16843) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 67372 a prime number?
No. 67372 = × 16843, so it is divisible by 2.
What are the factors of 67372?
1, 2, 4, 16843, 33686, 67372.
What is 67372 in binary?
10000011100101100 (hexadecimal 1072C, octal 203454).
What is the square root of 67372?
About 259.5612, exactly 2√16843.
Is 67372 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67372?
It is a composite number with 6 divisors.