The number 55762
55762 is a composite number with 12 divisors. Its prime factorisation is 2 × × 569. Divisors (12): 1, 2, 7, 14, 49, 98, 569, 1138, 3983, 7966, 27881, 55762.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55762: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55762 is composite. Its prime factorisation is
- 3
The divisors add up to 97470; without 55762 itself that is 41708, so 55762 is deficient (41708 is less than 55762). Euler's totient φ(55762) = 23856 numbers up to 55762 share no factor with it.
- 4
The digits of 55762 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55762 = 2 \times 7^{2} \times 569 \]55762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97470 |
| Euler totient φ(n) | 23856 |
| Square | 3109400644 |
| Cube | 173386398710728 |
| Square root | 236.139789 (= 7√1138) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5762 × |
55762 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and sixty-two |
| Binary (base 2) | 1101100111010010 |
| Octal (base 8) | 154722 |
| Hexadecimal (base 16) | D9D2 |
| Base 3 | 2211111021 |
| As time | 55762 seconds = 15 h 29 min 22 s |
Is 55762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55762 ÷ 2 = 27881) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55762 ÷ 7 = 7966) | 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 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55762 a prime number?
No. 55762 = 2 × × 569, so it is divisible by 2.
What are the factors of 55762?
1, 2, 7, 14, 49, 98, 569, 1138, 3983, 7966, 27881, 55762.
What is 55762 in binary?
1101100111010010 (hexadecimal D9D2, octal 154722).
What is the square root of 55762?
About 236.1398, exactly 7√1138.
Is 55762 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55762?
55762 is a happy number: repeatedly adding the squares of its digits reaches 1.