The number 59967
59967 is a composite number with 8 divisors. Its prime factorisation is × 2221. Divisors (8): 1, 3, 9, 27, 2221, 6663, 19989, 59967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59967 is composite. Its prime factorisation is
- 3
The divisors add up to 88880; without 59967 itself that is 28913, so 59967 is deficient (28913 is less than 59967). Euler's totient φ(59967) = 39960 numbers up to 59967 share no factor with it.
- 4
The digits of 59967 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59967 = 3^{3} \times 2221 \]59967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88880 |
| Euler totient φ(n) | 39960 |
| Square | 3596041089 |
| Cube | 215643795984063 |
| Square root | 244.881604 (= 3√6663) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9967 × |
59967 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and sixty-seven |
| Binary (base 2) | 1110101000111111 |
| Octal (base 8) | 165077 |
| Hexadecimal (base 16) | EA3F |
| Base 3 | 10001021000 |
| As time | 59967 seconds = 16 h 39 min 27 s |
Is 59967 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 (59967 ÷ 3 = 19989) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59967 ÷ 9 = 6663) | 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 6) | 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 59967 a prime number?
No. 59967 = × 2221, so it is divisible by 3.
What are the factors of 59967?
1, 3, 9, 27, 2221, 6663, 19989, 59967.
What is 59967 in binary?
1110101000111111 (hexadecimal EA3F, octal 165077).
What is the square root of 59967?
About 244.8816, exactly 3√6663.
Is 59967 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 59967?
It is a composite number with 8 divisors.