The number 5331
5331 is a composite number with 4 divisors. Its prime factorisation is 3 × 1777. Divisors (4): 1, 3, 1777, 5331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5331: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1777, the product of two primes.
- 2
5331 is composite. Its prime factorisation is
- 3
The divisors add up to 7112; without 5331 itself that is 1781, so 5331 is deficient (1781 is less than 5331). Euler's totient φ(5331) = 3552 numbers up to 5331 share no factor with it.
- 4
The digits of 5331 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5331 = 3 \times 1777 \]
5331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7112 |
| Euler totient φ(n) | 3552 |
| Square | 28419561 |
| Cube | 151504679691 |
| Square root | 73.013697 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.331 × |
5331 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-one |
| Binary (base 2) | 1010011010011 |
| Octal (base 8) | 12323 |
| Hexadecimal (base 16) | 14D3 |
| Base 3 | 21022110 |
| As time | 5331 seconds = 1 h 28 min 51 s |
Is 5331 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 (5331 ÷ 3 = 1777) | 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 7) | 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 5331 a prime number?
No. 5331 = 3 × 1777, so it is divisible by 3.
What are the factors of 5331?
1, 3, 1777, 5331.
What is 5331 in binary?
1010011010011 (hexadecimal 14D3, octal 12323).
What is the square root of 5331?
About 73.0137.
Is 5331 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5331?
5331 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1777, the product of two primes.