The number 52746
52746 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 59 × 149. Divisors (16): 1, 2, 3, 6, 59, 118, 149, 177, 298, 354, 447, 894, 8791, 17582, 26373, 52746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52746: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52746 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 52746 itself that is 55254, so 52746 is abundant (55254 is more than 52746). Euler's totient φ(52746) = 17168 numbers up to 52746 share no factor with it.
- 4
The digits of 52746 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52746 = 2 \times 3 \times 59 \times 149 \]
52746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 17168 |
| Square | 2782140516 |
| Cube | 146746783656936 |
| Square root | 229.664973 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2746 × |
52746 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and forty-six |
| Binary (base 2) | 1100111000001010 |
| Octal (base 8) | 147012 |
| Hexadecimal (base 16) | CE0A |
| Base 3 | 2200100120 |
| As time | 52746 seconds = 14 h 39 min 6 s |
Is 52746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52746 ÷ 2 = 26373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52746 ÷ 3 = 17582) | 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 (52746 ÷ 6 = 8791) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 6) | 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 52746 a prime number?
No. 52746 = 2 × 3 × 59 × 149, so it is divisible by 2.
What are the factors of 52746?
1, 2, 3, 6, 59, 118, 149, 177, 298, 354, 447, 894, 8791, 17582, 26373, 52746.
What is 52746 in binary?
1100111000001010 (hexadecimal CE0A, octal 147012).
What is the square root of 52746?
About 229.6650.
Is 52746 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 52746?
52746 is a happy number: repeatedly adding the squares of its digits reaches 1.