The number 51426
51426 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2857. Divisors (12): 1, 2, 3, 6, 9, 18, 2857, 5714, 8571, 17142, 25713, 51426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51426: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
51426 is composite. Its prime factorisation is
- 3
The divisors add up to 111462; without 51426 itself that is 60036, so 51426 is abundant (60036 is more than 51426). Euler's totient φ(51426) = 17136 numbers up to 51426 share no factor with it.
- 4
The digits of 51426 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51426 = 2 \times 3^{2} \times 2857 \]51426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111462 |
| Euler totient φ(n) | 17136 |
| Square | 2644633476 |
| Cube | 136002921136776 |
| Square root | 226.773014 (= 3√5714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 26 |
| Scientific notation | 5.1426 × |
51426 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand four hundred and twenty-six |
| Binary (base 2) | 1100100011100010 |
| Octal (base 8) | 144342 |
| Hexadecimal (base 16) | C8E2 |
| Base 3 | 2121112200 |
| As time | 51426 seconds = 14 h 17 min 6 s |
Is 51426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51426 ÷ 2 = 25713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51426 ÷ 3 = 17142) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51426 ÷ 6 = 8571) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51426 ÷ 9 = 5714) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51426 a prime number?
No. 51426 = 2 × × 2857, so it is divisible by 2.
What are the factors of 51426?
1, 2, 3, 6, 9, 18, 2857, 5714, 8571, 17142, 25713, 51426.
What is 51426 in binary?
1100100011100010 (hexadecimal C8E2, octal 144342).
What is the square root of 51426?
About 226.7730, exactly 3√5714.
Is 51426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 51426?
51426 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.