The number 31024
31024 is a composite number with 20 divisors. Its prime factorisation is × 7 × 277. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 277, 554, 1108, 1939, 2216, 3878 … 31024.
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How to work it out
- 1
31024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31024 is composite. Its prime factorisation is
- 3
The divisors add up to 68944; without 31024 itself that is 37920, so 31024 is abundant (37920 is more than 31024). Euler's totient φ(31024) = 13248 numbers up to 31024 share no factor with it.
- 4
The digits of 31024 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31024 = 2^{4} \times 7 \times 277 \]31024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 68944 |
| Euler totient φ(n) | 13248 |
| Square | 962488576 |
| Cube | 29860245581824 |
| Square root | 176.136311 (= 4√1939) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1024 × |
31024 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and twenty-four |
| Binary (base 2) | 111100100110000 |
| Octal (base 8) | 74460 |
| Hexadecimal (base 16) | 7930 |
| Base 3 | 1120120001 |
| As time | 31024 seconds = 8 h 37 min 4 s |
Is 31024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31024 ÷ 2 = 15512) | 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 (31024 ÷ 4 = 7756) | 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 (31024 ÷ 7 = 4432) | 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 (31024 ÷ 8 = 3878) | 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 4) | 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 31024 a prime number?
No. 31024 = × 7 × 277, so it is divisible by 2.
What are the factors of 31024?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 277, 554, 1108, 1939, 2216, 3878, 4432, 7756, 15512, 31024.
What is 31024 in binary?
111100100110000 (hexadecimal 7930, octal 74460).
What is the square root of 31024?
About 176.1363, exactly 4√1939.
Is 31024 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31024?
It is a composite number with 20 divisors.