The number 31260
31260 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 521. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 521, 1042, 1563, 2084 … 31260.
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How to work it out
- 1
What is special about 31260: a Harshad number: divisible by its digit sum 12.
- 2
31260 is composite. Its prime factorisation is
- 3
The divisors add up to 87696; without 31260 itself that is 56436, so 31260 is abundant (56436 is more than 31260). Euler's totient φ(31260) = 8320 numbers up to 31260 share no factor with it.
- 4
The digits of 31260 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31260 = 2^{2} \times 3 \times 5 \times 521 \]31260 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87696 |
| Euler totient φ(n) | 8320 |
| Square | 977187600 |
| Cube | 30546884376000 |
| Square root | 176.804977 (= 2√7815) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.126 × |
31260 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and sixty |
| Binary (base 2) | 111101000011100 |
| Octal (base 8) | 75034 |
| Hexadecimal (base 16) | 7A1C |
| Base 3 | 1120212210 |
| As time | 31260 seconds = 8 h 41 min 0 s |
Is 31260 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31260 ÷ 2 = 15630) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31260 ÷ 3 = 10420) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31260 ÷ 4 = 7815) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31260 ÷ 5 = 6252) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31260 ÷ 6 = 5210) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (31260 ÷ 10 = 3126) | 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 | Yes (31260 ÷ 12 = 2605) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31260 a prime number?
No. 31260 = × 3 × 5 × 521, so it is divisible by 2.
What are the factors of 31260?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 521, 1042, 1563, 2084, 2605, 3126, 5210, 6252, 7815, 10420, 15630, 31260.
What is 31260 in binary?
111101000011100 (hexadecimal 7A1C, octal 75034).
What is the square root of 31260?
About 176.8050, exactly 2√7815.
Is 31260 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31260?
31260 is a Harshad number: divisible by its digit sum 12.