The number 31212
31212 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102 … 31212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31212: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
31212 is composite. Its prime factorisation is
- 3
The divisors add up to 85960; without 31212 itself that is 54748, so 31212 is abundant (54748 is more than 31212). Euler's totient φ(31212) = 9792 numbers up to 31212 share no factor with it.
- 4
The digits of 31212 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31212 = 2^{2} \times 3^{3} \times 17^{2} \]31212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 85960 |
| Euler totient φ(n) | 9792 |
| Square | 974188944 |
| Cube | 30406385320128 |
| Square root | 176.669182 (= 102√3) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1212 × |
31212 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and twelve |
| Binary (base 2) | 111100111101100 |
| Octal (base 8) | 74754 |
| Hexadecimal (base 16) | 79EC |
| Base 3 | 1120211000 |
| As time | 31212 seconds = 8 h 40 min 12 s |
Is 31212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31212 ÷ 2 = 15606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31212 ÷ 3 = 10404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31212 ÷ 4 = 7803) | 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 (31212 ÷ 6 = 5202) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31212 ÷ 9 = 3468) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31212 ÷ 12 = 2601) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31212 a prime number?
No. 31212 = × × , so it is divisible by 2.
What are the factors of 31212?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 289, 306, 459, 578, 612, 867, 918, 1156, 1734, 1836, 2601, 3468, 5202, 7803, 10404, 15606, 31212.
What is 31212 in binary?
111100111101100 (hexadecimal 79EC, octal 74754).
What is the square root of 31212?
About 176.6692, exactly 102√3.
Is 31212 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31212?
31212 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.