The number 51667
51667 is a composite number with 12 divisors. Its prime factorisation is 7 × × 61. Divisors (12): 1, 7, 11, 61, 77, 121, 427, 671, 847, 4697, 7381, 51667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51667 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51667 is composite. Its prime factorisation is
- 3
The divisors add up to 65968; without 51667 itself that is 14301, so 51667 is deficient (14301 is less than 51667). Euler's totient φ(51667) = 39600 numbers up to 51667 share no factor with it.
- 4
The digits of 51667 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51667 = 7 \times 11^{2} \times 61 \]51667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65968 |
| Euler totient φ(n) | 39600 |
| Square | 2669478889 |
| Cube | 137923965757963 |
| Square root | 227.303762 (= 11√427) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1667 × |
51667 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand six hundred and sixty-seven |
| Binary (base 2) | 1100100111010011 |
| Octal (base 8) | 144723 |
| Hexadecimal (base 16) | C9D3 |
| Base 3 | 2121212121 |
| As time | 51667 seconds = 14 h 21 min 7 s |
Is 51667 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (51667 ÷ 7 = 7381) | 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 7) | 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 | Yes (51667 ÷ 11 = 4697) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51667 a prime number?
No. 51667 = 7 × × 61, so it is divisible by 7.
What are the factors of 51667?
1, 7, 11, 61, 77, 121, 427, 671, 847, 4697, 7381, 51667.
What is 51667 in binary?
1100100111010011 (hexadecimal C9D3, octal 144723).
What is the square root of 51667?
About 227.3038, exactly 11√427.
Is 51667 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 51667?
It is a composite number with 12 divisors.