The number 31104
31104 is a composite number with 48 divisors. Its prime factorisation is × . Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 31104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31104: a Harshad number: divisible by its digit sum 9.
- 2
31104 is composite. Its prime factorisation is
- 3
The divisors add up to 92820; without 31104 itself that is 61716, so 31104 is abundant (61716 is more than 31104). Euler's totient φ(31104) = 10368 numbers up to 31104 share no factor with it.
- 4
The digits of 31104 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31104 = 2^{7} \times 3^{5} \]31104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 92820 |
| Euler totient φ(n) | 10368 |
| Square | 967458816 |
| Cube | 30091839012864 |
| Square root | 176.363261 (= 72√6) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1104 × |
31104 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and four |
| Binary (base 2) | 111100110000000 |
| Octal (base 8) | 74600 |
| Hexadecimal (base 16) | 7980 |
| Base 3 | 1120200000 |
| As time | 31104 seconds = 8 h 38 min 24 s |
Is 31104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31104 ÷ 2 = 15552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31104 ÷ 3 = 10368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31104 ÷ 4 = 7776) | 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 (31104 ÷ 6 = 5184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (31104 ÷ 8 = 3888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31104 ÷ 9 = 3456) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31104 ÷ 12 = 2592) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31104 a prime number?
No. 31104 = × , so it is divisible by 2.
What are the factors of 31104?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 243, 288, 324, 384, 432, 486, 576, 648, 864, 972, 1152, 1296, 1728, 1944, 2592, 3456, 3888, 5184, 7776, 10368, 15552, 31104.
What is 31104 in binary?
111100110000000 (hexadecimal 7980, octal 74600).
What is the square root of 31104?
About 176.3633, exactly 72√6.
Is 31104 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31104?
31104 is a Harshad number: divisible by its digit sum 9.