The number 31444
31444 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1123. Divisors (12): 1, 2, 4, 7, 14, 28, 1123, 2246, 4492, 7861, 15722, 31444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31444 is composite. Its prime factorisation is
- 3
The divisors add up to 62944; without 31444 itself that is 31500, so 31444 is abundant (31500 is more than 31444). Euler's totient φ(31444) = 13464 numbers up to 31444 share no factor with it.
- 4
The digits of 31444 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31444 = 2^{2} \times 7 \times 1123 \]31444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62944 |
| Euler totient φ(n) | 13464 |
| Square | 988725136 |
| Cube | 31089473176384 |
| Square root | 177.324561 (= 2√7861) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1444 × |
31444 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and forty-four |
| Binary (base 2) | 111101011010100 |
| Octal (base 8) | 75324 |
| Hexadecimal (base 16) | 7AD4 |
| Base 3 | 1121010121 |
| As time | 31444 seconds = 8 h 44 min 4 s |
Is 31444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31444 ÷ 2 = 15722) | 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 (31444 ÷ 4 = 7861) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31444 ÷ 7 = 4492) | 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 | No (remainder 7) | 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 6) | 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 31444 a prime number?
No. 31444 = × 7 × 1123, so it is divisible by 2.
What are the factors of 31444?
1, 2, 4, 7, 14, 28, 1123, 2246, 4492, 7861, 15722, 31444.
What is 31444 in binary?
111101011010100 (hexadecimal 7AD4, octal 75324).
What is the square root of 31444?
About 177.3246, exactly 2√7861.
Is 31444 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31444?
It is a composite number with 12 divisors.