The number 31744
31744 is a composite number with 22 divisors. Its prime factorisation is × 31. Divisors (22): 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992 … 31744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31744 is composite. Its prime factorisation is
- 3
The divisors add up to 65504; without 31744 itself that is 33760, so 31744 is abundant (33760 is more than 31744). Euler's totient φ(31744) = 15360 numbers up to 31744 share no factor with it.
- 4
The digits of 31744 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31744 = 2^{10} \times 31 \]31744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 65504 |
| Euler totient φ(n) | 15360 |
| Square | 1007681536 |
| Cube | 31987842678784 |
| Square root | 178.168460 (= 32√31) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1744 × |
31744 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and forty-four |
| Binary (base 2) | 111110000000000 |
| Octal (base 8) | 76000 |
| Hexadecimal (base 16) | 7C00 |
| Base 3 | 1121112201 |
| As time | 31744 seconds = 8 h 49 min 4 s |
Is 31744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31744 ÷ 2 = 15872) | 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 (31744 ÷ 4 = 7936) | 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 | 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 | Yes (31744 ÷ 8 = 3968) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 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 31744 a prime number?
No. 31744 = × 31, so it is divisible by 2.
What are the factors of 31744?
1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1024, 1984, 3968, 7936, 15872, 31744.
What is 31744 in binary?
111110000000000 (hexadecimal 7C00, octal 76000).
What is the square root of 31744?
About 178.1685, exactly 32√31.
Is 31744 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31744?
31744 is a happy number: repeatedly adding the squares of its digits reaches 1.