The number 31044
31044 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 199. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796 … 31044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31044: a Harshad number: divisible by its digit sum 12.
- 2
31044 is composite. Its prime factorisation is
- 3
The divisors add up to 78400; without 31044 itself that is 47356, so 31044 is abundant (47356 is more than 31044). Euler's totient φ(31044) = 9504 numbers up to 31044 share no factor with it.
- 4
The digits of 31044 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31044 = 2^{2} \times 3 \times 13 \times 199 \]31044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78400 |
| Euler totient φ(n) | 9504 |
| Square | 963729936 |
| Cube | 29918032133184 |
| Square root | 176.193076 (= 2√7761) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1044 × |
31044 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and forty-four |
| Binary (base 2) | 111100101000100 |
| Octal (base 8) | 74504 |
| Hexadecimal (base 16) | 7944 |
| Base 3 | 1120120210 |
| As time | 31044 seconds = 8 h 37 min 24 s |
Is 31044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31044 ÷ 2 = 15522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31044 ÷ 3 = 10348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31044 ÷ 4 = 7761) | 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 (31044 ÷ 6 = 5174) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31044 ÷ 12 = 2587) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31044 a prime number?
No. 31044 = × 3 × 13 × 199, so it is divisible by 2.
What are the factors of 31044?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522, 31044.
What is 31044 in binary?
111100101000100 (hexadecimal 7944, octal 74504).
What is the square root of 31044?
About 176.1931, exactly 2√7761.
Is 31044 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31044?
31044 is a Harshad number: divisible by its digit sum 12.