The number 51462
51462 is a composite number with 16 divisors. Its prime factorisation is 2 × × 953. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 953, 1906, 2859, 5718, 8577, 17154, 25731, 51462.
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How to work it out
- 1
What is special about 51462: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
51462 is composite. Its prime factorisation is
- 3
The divisors add up to 114480; without 51462 itself that is 63018, so 51462 is abundant (63018 is more than 51462). Euler's totient φ(51462) = 17136 numbers up to 51462 share no factor with it.
- 4
The digits of 51462 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51462 = 2 \times 3^{3} \times 953 \]51462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114480 |
| Euler totient φ(n) | 17136 |
| Square | 2648337444 |
| Cube | 136288741543128 |
| Square root | 226.852375 (= 3√5718) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.1462 × |
51462 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand four hundred and sixty-two |
| Binary (base 2) | 1100100100000110 |
| Octal (base 8) | 144406 |
| Hexadecimal (base 16) | C906 |
| Base 3 | 2121121000 |
| As time | 51462 seconds = 14 h 17 min 42 s |
Is 51462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51462 ÷ 2 = 25731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51462 ÷ 3 = 17154) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51462 ÷ 6 = 8577) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51462 ÷ 9 = 5718) | 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 4) | 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 51462 a prime number?
No. 51462 = 2 × × 953, so it is divisible by 2.
What are the factors of 51462?
1, 2, 3, 6, 9, 18, 27, 54, 953, 1906, 2859, 5718, 8577, 17154, 25731, 51462.
What is 51462 in binary?
1100100100000110 (hexadecimal C906, octal 144406).
What is the square root of 51462?
About 226.8524, exactly 3√5718.
Is 51462 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 51462?
51462 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.