The number 51672
51672 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2153. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2153, 4306, 6459, 8612, 12918, 17224, 25836, 51672.
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How to work it out
- 1
51672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51672 is composite. Its prime factorisation is
- 3
The divisors add up to 129240; without 51672 itself that is 77568, so 51672 is abundant (77568 is more than 51672). Euler's totient φ(51672) = 17216 numbers up to 51672 share no factor with it.
- 4
The digits of 51672 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
\[ 51672 = 2^{3} \times 3 \times 2153 \]51672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129240 |
| Euler totient φ(n) | 17216 |
| Square | 2669995584 |
| Cube | 137964011816448 |
| Square root | 227.314760 (= 2√12918) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.1672 × |
51672 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand six hundred and seventy-two |
| Binary (base 2) | 1100100111011000 |
| Octal (base 8) | 144730 |
| Hexadecimal (base 16) | C9D8 |
| Base 3 | 2121212210 |
| As time | 51672 seconds = 14 h 21 min 12 s |
Is 51672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51672 ÷ 2 = 25836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51672 ÷ 3 = 17224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51672 ÷ 4 = 12918) | 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 | Yes (51672 ÷ 6 = 8612) | 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 (51672 ÷ 8 = 6459) | 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 2) | 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 | Yes (51672 ÷ 12 = 4306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51672 a prime number?
No. 51672 = × 3 × 2153, so it is divisible by 2.
What are the factors of 51672?
1, 2, 3, 4, 6, 8, 12, 24, 2153, 4306, 6459, 8612, 12918, 17224, 25836, 51672.
What is 51672 in binary?
1100100111011000 (hexadecimal C9D8, octal 144730).
What is the square root of 51672?
About 227.3148, exactly 2√12918.
Is 51672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 51672?
It is a composite number with 16 divisors.