The number 31214
31214 is a composite number with 4 divisors. Its prime factorisation is 2 × 15607. Divisors (4): 1, 2, 15607, 31214.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31214: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15607, the product of two primes.
- 2
31214 is composite. Its prime factorisation is
- 3
The divisors add up to 46824; without 31214 itself that is 15610, so 31214 is deficient (15610 is less than 31214). Euler's totient φ(31214) = 15606 numbers up to 31214 share no factor with it.
- 4
The digits of 31214 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31214 = 2 \times 15607 \]
31214 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 46824 |
| Euler totient φ(n) | 15606 |
| Square | 974313796 |
| Cube | 30412230828344 |
| Square root | 176.674843 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1214 × |
31214 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and fourteen |
| Binary (base 2) | 111100111101110 |
| Octal (base 8) | 74756 |
| Hexadecimal (base 16) | 79EE |
| Base 3 | 1120211002 |
| As time | 31214 seconds = 8 h 40 min 14 s |
Is 31214 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31214 ÷ 2 = 15607) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31214 a prime number?
No. 31214 = 2 × 15607, so it is divisible by 2.
What are the factors of 31214?
1, 2, 15607, 31214.
What is 31214 in binary?
111100111101110 (hexadecimal 79EE, octal 74756).
What is the square root of 31214?
About 176.6748.
Is 31214 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31214?
31214 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15607, the product of two primes.