The number 31344
31344 is a composite number with 20 divisors. Its prime factorisation is × 3 × 653. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 653, 1306, 1959, 2612, 3918, 5224 … 31344.
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How to work it out
- 1
31344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31344 is composite. Its prime factorisation is
- 3
The divisors add up to 81096; without 31344 itself that is 49752, so 31344 is abundant (49752 is more than 31344). Euler's totient φ(31344) = 10432 numbers up to 31344 share no factor with it.
- 4
The digits of 31344 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31344 = 2^{4} \times 3 \times 653 \]31344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81096 |
| Euler totient φ(n) | 10432 |
| Square | 982446336 |
| Cube | 30793797955584 |
| Square root | 177.042368 (= 4√1959) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1344 × |
31344 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-four |
| Binary (base 2) | 111101001110000 |
| Octal (base 8) | 75160 |
| Hexadecimal (base 16) | 7A70 |
| Base 3 | 1120222220 |
| As time | 31344 seconds = 8 h 42 min 24 s |
Is 31344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31344 ÷ 2 = 15672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31344 ÷ 3 = 10448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31344 ÷ 4 = 7836) | 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 | Yes (31344 ÷ 6 = 5224) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (31344 ÷ 8 = 3918) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31344 ÷ 12 = 2612) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31344 a prime number?
No. 31344 = × 3 × 653, so it is divisible by 2.
What are the factors of 31344?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 653, 1306, 1959, 2612, 3918, 5224, 7836, 10448, 15672, 31344.
What is 31344 in binary?
111101001110000 (hexadecimal 7A70, octal 75160).
What is the square root of 31344?
About 177.0424, exactly 4√1959.
Is 31344 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31344?
It is a composite number with 20 divisors.