The number 51168
51168 is a composite number with 48 divisors. Its prime factorisation is × 3 × 13 × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 41, 48, 52 … 51168.
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How to work it out
- 1
51168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51168 is composite. Its prime factorisation is
- 3
The divisors add up to 148176; without 51168 itself that is 97008, so 51168 is abundant (97008 is more than 51168). Euler's totient φ(51168) = 15360 numbers up to 51168 share no factor with it.
- 4
The digits of 51168 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
\[ 51168 = 2^{5} \times 3 \times 13 \times 41 \]51168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 148176 |
| Euler totient φ(n) | 15360 |
| Square | 2618164224 |
| Cube | 133966227013632 |
| Square root | 226.203448 (= 4√3198) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.1168 × |
51168 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand one hundred and sixty-eight |
| Binary (base 2) | 1100011111100000 |
| Octal (base 8) | 143740 |
| Hexadecimal (base 16) | C7E0 |
| Base 3 | 2121012010 |
| As time | 51168 seconds = 14 h 12 min 48 s |
Is 51168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51168 ÷ 2 = 25584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51168 ÷ 3 = 17056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51168 ÷ 4 = 12792) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51168 ÷ 6 = 8528) | 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 | Yes (51168 ÷ 8 = 6396) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51168 ÷ 12 = 4264) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51168 a prime number?
No. 51168 = × 3 × 13 × 41, so it is divisible by 2.
What are the factors of 51168?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 41, 48, 52, 78, 82, 96, 104, 123, 156, 164, 208, 246, 312, 328, 416, 492, 533, 624, 656, 984, 1066, 1248, 1312, 1599, 1968, 2132, 3198, 3936, 4264, 6396, 8528, 12792, 17056, 25584, 51168.
What is 51168 in binary?
1100011111100000 (hexadecimal C7E0, octal 143740).
What is the square root of 51168?
About 226.2034, exactly 4√3198.
Is 51168 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 51168?
It is a composite number with 48 divisors.