The number 13070
13070 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1307. Divisors (8): 1, 2, 5, 10, 1307, 2614, 6535, 13070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13070 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13070 is composite. Its prime factorisation is
- 3
The divisors add up to 23544; without 13070 itself that is 10474, so 13070 is deficient (10474 is less than 13070). Euler's totient φ(13070) = 5224 numbers up to 13070 share no factor with it.
- 4
The digits of 13070 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13070 = 2 \times 5 \times 1307 \]
13070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23544 |
| Euler totient φ(n) | 5224 |
| Square | 170824900 |
| Cube | 2232681443000 |
| Square root | 114.324101 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.307 × |
13070 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy |
| Binary (base 2) | 11001100001110 |
| Octal (base 8) | 31416 |
| Hexadecimal (base 16) | 330E |
| Base 3 | 122221002 |
| As time | 13070 seconds = 3 h 37 min 50 s |
Is 13070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13070 ÷ 2 = 6535) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (13070 ÷ 5 = 2614) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13070 ÷ 10 = 1307) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13070 a prime number?
No. 13070 = 2 × 5 × 1307, so it is divisible by 2.
What are the factors of 13070?
1, 2, 5, 10, 1307, 2614, 6535, 13070.
What is 13070 in binary?
11001100001110 (hexadecimal 330E, octal 31416).
What is the square root of 13070?
About 114.3241.
Is 13070 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13070?
It is a composite number with 8 divisors.