The number 53067
53067 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 7, 19, 21, 49, 57, 133, 147, 361, 399, 931, 1083, 2527, 2793, 7581 … 53067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53067: a Harshad number: divisible by its digit sum 21.
- 2
53067 is composite. Its prime factorisation is
- 3
The divisors add up to 86868; without 53067 itself that is 33801, so 53067 is deficient (33801 is less than 53067). Euler's totient φ(53067) = 28728 numbers up to 53067 share no factor with it.
- 4
The digits of 53067 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53067 = 3 \times 7^{2} \times 19^{2} \]53067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 86868 |
| Euler totient φ(n) | 28728 |
| Square | 2816106489 |
| Cube | 149442323051763 |
| Square root | 230.362757 (= 133√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3067 × |
53067 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and sixty-seven |
| Binary (base 2) | 1100111101001011 |
| Octal (base 8) | 147513 |
| Hexadecimal (base 16) | CF4B |
| Base 3 | 2200210110 |
| As time | 53067 seconds = 14 h 44 min 27 s |
Is 53067 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 (53067 ÷ 3 = 17689) | 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 | Yes (53067 ÷ 7 = 7581) | 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 | No (remainder 3) | 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 3) | 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 53067 a prime number?
No. 53067 = 3 × × , so it is divisible by 3.
What are the factors of 53067?
1, 3, 7, 19, 21, 49, 57, 133, 147, 361, 399, 931, 1083, 2527, 2793, 7581, 17689, 53067.
What is 53067 in binary?
1100111101001011 (hexadecimal CF4B, octal 147513).
What is the square root of 53067?
About 230.3628, exactly 133√3.
Is 53067 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53067?
53067 is a Harshad number: divisible by its digit sum 21.