The number 53667
53667 is a composite number with 12 divisors. Its prime factorisation is × 67 × 89. Divisors (12): 1, 3, 9, 67, 89, 201, 267, 603, 801, 5963, 17889, 53667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53667 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53667 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 53667 itself that is 25893, so 53667 is deficient (25893 is less than 53667). Euler's totient φ(53667) = 34848 numbers up to 53667 share no factor with it.
- 4
The digits of 53667 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53667 = 3^{2} \times 67 \times 89 \]53667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 34848 |
| Square | 2880146889 |
| Cube | 154568843091963 |
| Square root | 231.661391 (= 3√5963) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3667 × |
53667 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and sixty-seven |
| Binary (base 2) | 1101000110100011 |
| Octal (base 8) | 150643 |
| Hexadecimal (base 16) | D1A3 |
| Base 3 | 2201121200 |
| As time | 53667 seconds = 14 h 54 min 27 s |
Is 53667 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53667 ÷ 3 = 17889) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53667 ÷ 9 = 5963) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53667 a prime number?
No. 53667 = × 67 × 89, so it is divisible by 3.
What are the factors of 53667?
1, 3, 9, 67, 89, 201, 267, 603, 801, 5963, 17889, 53667.
What is 53667 in binary?
1101000110100011 (hexadecimal D1A3, octal 150643).
What is the square root of 53667?
About 231.6614, exactly 3√5963.
Is 53667 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53667?
It is a composite number with 12 divisors.