The number 31216
31216 is a composite number with 10 divisors. Its prime factorisation is × 1951. Divisors (10): 1, 2, 4, 8, 16, 1951, 3902, 7804, 15608, 31216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31216 is composite. Its prime factorisation is
- 3
The divisors add up to 60512; without 31216 itself that is 29296, so 31216 is deficient (29296 is less than 31216). Euler's totient φ(31216) = 15600 numbers up to 31216 share no factor with it.
- 4
The digits of 31216 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31216 = 2^{4} \times 1951 \]31216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 60512 |
| Euler totient φ(n) | 15600 |
| Square | 974438656 |
| Cube | 30418077085696 |
| Square root | 176.680503 (= 4√1951) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1216 × |
31216 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and sixteen |
| Binary (base 2) | 111100111110000 |
| Octal (base 8) | 74760 |
| Hexadecimal (base 16) | 79F0 |
| Base 3 | 1120211011 |
| As time | 31216 seconds = 8 h 40 min 16 s |
Is 31216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31216 ÷ 2 = 15608) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31216 ÷ 4 = 7804) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (31216 ÷ 8 = 3902) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31216 a prime number?
No. 31216 = × 1951, so it is divisible by 2.
What are the factors of 31216?
1, 2, 4, 8, 16, 1951, 3902, 7804, 15608, 31216.
What is 31216 in binary?
111100111110000 (hexadecimal 79F0, octal 74760).
What is the square root of 31216?
About 176.6805, exactly 4√1951.
Is 31216 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31216?
It is a composite number with 10 divisors.