The number 13090
13090 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 11 × 17. Divisors (32): 1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110 … 13090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13090 is composite. Its prime factorisation is
- 3
The divisors add up to 31104; without 13090 itself that is 18014, so 13090 is abundant (18014 is more than 13090). Euler's totient φ(13090) = 3840 numbers up to 13090 share no factor with it.
- 4
The digits of 13090 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13090 = 2 \times 5 \times 7 \times 11 \times 17 \]
13090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 31104 |
| Euler totient φ(n) | 3840 |
| Square | 171348100 |
| Cube | 2242946629000 |
| Square root | 114.411538 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.309 × |
13090 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety |
| Binary (base 2) | 11001100100010 |
| Octal (base 8) | 31442 |
| Hexadecimal (base 16) | 3322 |
| Base 3 | 122221211 |
| As time | 13090 seconds = 3 h 38 min 10 s |
Is 13090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13090 ÷ 2 = 6545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (13090 ÷ 5 = 2618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13090 ÷ 7 = 1870) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13090 ÷ 10 = 1309) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13090 ÷ 11 = 1190) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13090 a prime number?
No. 13090 = 2 × 5 × 7 × 11 × 17, so it is divisible by 2.
What are the factors of 13090?
1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 374, 385, 595, 770, 935, 1190, 1309, 1870, 2618, 6545, 13090.
What is 13090 in binary?
11001100100010 (hexadecimal 3322, octal 31442).
What is the square root of 13090?
About 114.4115.
Is 13090 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13090?
13090 is a happy number: repeatedly adding the squares of its digits reaches 1.