The number 53742
53742 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 53. Divisors (24): 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 169, 318, 338, 507, 689 … 53742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53742 is composite. Its prime factorisation is
- 3
The divisors add up to 118584; without 53742 itself that is 64842, so 53742 is abundant (64842 is more than 53742). Euler's totient φ(53742) = 16224 numbers up to 53742 share no factor with it.
- 4
The digits of 53742 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
\[ 53742 = 2 \times 3 \times 13^{2} \times 53 \]53742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118584 |
| Euler totient φ(n) | 16224 |
| Square | 2888202564 |
| Cube | 155217782194488 |
| Square root | 231.823209 (= 13√318) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3742 × |
53742 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and forty-two |
| Binary (base 2) | 1101000111101110 |
| Octal (base 8) | 150756 |
| Hexadecimal (base 16) | D1EE |
| Base 3 | 2201201110 |
| As time | 53742 seconds = 14 h 55 min 42 s |
Is 53742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53742 ÷ 2 = 26871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53742 ÷ 3 = 17914) | 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 (53742 ÷ 6 = 8957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | 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 7) | 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 53742 a prime number?
No. 53742 = 2 × 3 × × 53, so it is divisible by 2.
What are the factors of 53742?
1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 169, 318, 338, 507, 689, 1014, 1378, 2067, 4134, 8957, 17914, 26871, 53742.
What is 53742 in binary?
1101000111101110 (hexadecimal D1EE, octal 150756).
What is the square root of 53742?
About 231.8232, exactly 13√318.
Is 53742 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53742?
53742 is a happy number: repeatedly adding the squares of its digits reaches 1.