The number 31404
31404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2617. Divisors (12): 1, 2, 3, 4, 6, 12, 2617, 5234, 7851, 10468, 15702, 31404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31404: a Harshad number: divisible by its digit sum 12.
- 2
31404 is composite. Its prime factorisation is
- 3
The divisors add up to 73304; without 31404 itself that is 41900, so 31404 is abundant (41900 is more than 31404). Euler's totient φ(31404) = 10464 numbers up to 31404 share no factor with it.
- 4
The digits of 31404 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31404 = 2^{2} \times 3 \times 2617 \]31404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73304 |
| Euler totient φ(n) | 10464 |
| Square | 986211216 |
| Cube | 30970977027264 |
| Square root | 177.211738 (= 2√7851) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1404 × |
31404 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and four |
| Binary (base 2) | 111101010101100 |
| Octal (base 8) | 75254 |
| Hexadecimal (base 16) | 7AAC |
| Base 3 | 1121002010 |
| As time | 31404 seconds = 8 h 43 min 24 s |
Is 31404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31404 ÷ 2 = 15702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31404 ÷ 3 = 10468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31404 ÷ 4 = 7851) | 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 (31404 ÷ 6 = 5234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31404 ÷ 12 = 2617) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31404 a prime number?
No. 31404 = × 3 × 2617, so it is divisible by 2.
What are the factors of 31404?
1, 2, 3, 4, 6, 12, 2617, 5234, 7851, 10468, 15702, 31404.
What is 31404 in binary?
111101010101100 (hexadecimal 7AAC, octal 75254).
What is the square root of 31404?
About 177.2117, exactly 2√7851.
Is 31404 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31404?
31404 is a Harshad number: divisible by its digit sum 12.