The number 13470
13470 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 449. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735, 13470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13470: a Harshad number: divisible by its digit sum 15.
- 2
13470 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 13470 itself that is 18930, so 13470 is abundant (18930 is more than 13470). Euler's totient φ(13470) = 3584 numbers up to 13470 share no factor with it.
- 4
The digits of 13470 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13470 = 2 \times 3 \times 5 \times 449 \]
13470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 3584 |
| Square | 181440900 |
| Cube | 2444008923000 |
| Square root | 116.060329 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.347 × |
13470 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy |
| Binary (base 2) | 11010010011110 |
| Octal (base 8) | 32236 |
| Hexadecimal (base 16) | 349E |
| Base 3 | 200110220 |
| As time | 13470 seconds = 3 h 44 min 30 s |
Is 13470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13470 ÷ 2 = 6735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13470 ÷ 3 = 4490) | 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 (13470 ÷ 5 = 2694) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13470 ÷ 6 = 2245) | 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 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 (13470 ÷ 10 = 1347) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13470 a prime number?
No. 13470 = 2 × 3 × 5 × 449, so it is divisible by 2.
What are the factors of 13470?
1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735, 13470.
What is 13470 in binary?
11010010011110 (hexadecimal 349E, octal 32236).
What is the square root of 13470?
About 116.0603.
Is 13470 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13470?
13470 is a Harshad number: divisible by its digit sum 15.