The number 55731
55731 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1429. Divisors (8): 1, 3, 13, 39, 1429, 4287, 18577, 55731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55731: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55731 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 55731 itself that is 24349, so 55731 is deficient (24349 is less than 55731). Euler's totient φ(55731) = 34272 numbers up to 55731 share no factor with it.
- 4
The digits of 55731 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55731 = 3 \times 13 \times 1429 \]
55731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 34272 |
| Square | 3105944361 |
| Cube | 173097385182891 |
| Square root | 236.074141 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5731 × |
55731 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-one |
| Binary (base 2) | 1101100110110011 |
| Octal (base 8) | 154663 |
| Hexadecimal (base 16) | D9B3 |
| Base 3 | 2211110010 |
| As time | 55731 seconds = 15 h 28 min 51 s |
Is 55731 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55731 ÷ 3 = 18577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55731 a prime number?
No. 55731 = 3 × 13 × 1429, so it is divisible by 3.
What are the factors of 55731?
1, 3, 13, 39, 1429, 4287, 18577, 55731.
What is 55731 in binary?
1101100110110011 (hexadecimal D9B3, octal 154663).
What is the square root of 55731?
About 236.0741.
Is 55731 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55731?
55731 is a happy number: repeatedly adding the squares of its digits reaches 1.