The number 31662
31662 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1759. Divisors (12): 1, 2, 3, 6, 9, 18, 1759, 3518, 5277, 10554, 15831, 31662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31662: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
31662 is composite. Its prime factorisation is
- 3
The divisors add up to 68640; without 31662 itself that is 36978, so 31662 is abundant (36978 is more than 31662). Euler's totient φ(31662) = 10548 numbers up to 31662 share no factor with it.
- 4
The digits of 31662 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31662 = 2 \times 3^{2} \times 1759 \]31662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68640 |
| Euler totient φ(n) | 10548 |
| Square | 1002482244 |
| Cube | 31740592809528 |
| Square root | 177.938192 (= 3√3518) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1662 × |
31662 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and sixty-two |
| Binary (base 2) | 111101110101110 |
| Octal (base 8) | 75656 |
| Hexadecimal (base 16) | 7BAE |
| Base 3 | 1121102200 |
| As time | 31662 seconds = 8 h 47 min 42 s |
Is 31662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31662 ÷ 2 = 15831) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31662 ÷ 3 = 10554) | 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 (31662 ÷ 6 = 5277) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31662 ÷ 9 = 3518) | 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 4) | 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 31662 a prime number?
No. 31662 = 2 × × 1759, so it is divisible by 2.
What are the factors of 31662?
1, 2, 3, 6, 9, 18, 1759, 3518, 5277, 10554, 15831, 31662.
What is 31662 in binary?
111101110101110 (hexadecimal 7BAE, octal 75656).
What is the square root of 31662?
About 177.9382, exactly 3√3518.
Is 31662 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31662?
31662 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.