The number 51375
51375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 137. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 137, 375, 411, 685, 2055, 3425, 10275, 17125, 51375.
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How to work it out
- 1
What is special about 51375: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
51375 is composite. Its prime factorisation is
- 3
The divisors add up to 86112; without 51375 itself that is 34737, so 51375 is deficient (34737 is less than 51375). Euler's totient φ(51375) = 27200 numbers up to 51375 share no factor with it.
- 4
The digits of 51375 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51375 = 3 \times 5^{3} \times 137 \]51375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86112 |
| Euler totient φ(n) | 27200 |
| Square | 2639390625 |
| Cube | 135598693359375 |
| Square root | 226.660539 (= 5√2055) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.1375 × |
51375 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand three hundred and seventy-five |
| Binary (base 2) | 1100100010101111 |
| Octal (base 8) | 144257 |
| Hexadecimal (base 16) | C8AF |
| Base 3 | 2121110210 |
| As time | 51375 seconds = 14 h 16 min 15 s |
Is 51375 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 (51375 ÷ 3 = 17125) | 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 | Yes (51375 ÷ 5 = 10275) | 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 2) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 51375 a prime number?
No. 51375 = 3 × × 137, so it is divisible by 3.
What are the factors of 51375?
1, 3, 5, 15, 25, 75, 125, 137, 375, 411, 685, 2055, 3425, 10275, 17125, 51375.
What is 51375 in binary?
1100100010101111 (hexadecimal C8AF, octal 144257).
What is the square root of 51375?
About 226.6605, exactly 5√2055.
Is 51375 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 51375?
51375 is a happy number: repeatedly adding the squares of its digits reaches 1.