The number 5967
5967 is a composite number with 16 divisors. Its prime factorisation is × 13 × 17. Divisors (16): 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5967: a Harshad number: divisible by its digit sum 27.
- 2
5967 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5967 itself that is 4113, so 5967 is deficient (4113 is less than 5967). Euler's totient φ(5967) = 3456 numbers up to 5967 share no factor with it.
- 4
The digits of 5967 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5967 = 3^{3} \times 13 \times 17 \]5967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 3456 |
| Square | 35605089 |
| Cube | 212455566063 |
| Square root | 77.246359 (= 3√663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.967 × |
5967 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and sixty-seven |
| Binary (base 2) | 1011101001111 |
| Octal (base 8) | 13517 |
| Hexadecimal (base 16) | 174F |
| Base 3 | 22012000 |
| As time | 5967 seconds = 1 h 39 min 27 s |
Is 5967 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 (5967 ÷ 3 = 1989) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5967 ÷ 9 = 663) | 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 5) | 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 5967 a prime number?
No. 5967 = × 13 × 17, so it is divisible by 3.
What are the factors of 5967?
1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967.
What is 5967 in binary?
1011101001111 (hexadecimal 174F, octal 13517).
What is the square root of 5967?
About 77.2464, exactly 3√663.
Is 5967 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5967?
5967 is a Harshad number: divisible by its digit sum 27.