The number 31470
31470 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1049. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1049, 2098, 3147, 5245, 6294, 10490, 15735, 31470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31470: a Harshad number: divisible by its digit sum 15.
- 2
31470 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 31470 itself that is 44130, so 31470 is abundant (44130 is more than 31470). Euler's totient φ(31470) = 8384 numbers up to 31470 share no factor with it.
- 4
The digits of 31470 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31470 = 2 \times 3 \times 5 \times 1049 \]
31470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 8384 |
| Square | 990360900 |
| Cube | 31166657523000 |
| Square root | 177.397858 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.147 × |
31470 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and seventy |
| Binary (base 2) | 111101011101110 |
| Octal (base 8) | 75356 |
| Hexadecimal (base 16) | 7AEE |
| Base 3 | 1121011120 |
| As time | 31470 seconds = 8 h 44 min 30 s |
Is 31470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31470 ÷ 2 = 15735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31470 ÷ 3 = 10490) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31470 ÷ 5 = 6294) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31470 ÷ 6 = 5245) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31470 ÷ 10 = 3147) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31470 a prime number?
No. 31470 = 2 × 3 × 5 × 1049, so it is divisible by 2.
What are the factors of 31470?
1, 2, 3, 5, 6, 10, 15, 30, 1049, 2098, 3147, 5245, 6294, 10490, 15735, 31470.
What is 31470 in binary?
111101011101110 (hexadecimal 7AEE, octal 75356).
What is the square root of 31470?
About 177.3979.
Is 31470 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31470?
31470 is a Harshad number: divisible by its digit sum 15.