The number 13010
13010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1301. Divisors (8): 1, 2, 5, 10, 1301, 2602, 6505, 13010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13010: a Harshad number: divisible by its digit sum 5.
- 2
13010 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 13010 itself that is 10426, so 13010 is deficient (10426 is less than 13010). Euler's totient φ(13010) = 5200 numbers up to 13010 share no factor with it.
- 4
The digits of 13010 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13010 = 2 \times 5 \times 1301 \]
13010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 5200 |
| Square | 169260100 |
| Cube | 2202073901000 |
| Square root | 114.061387 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.301 × |
13010 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ten |
| Binary (base 2) | 11001011010010 |
| Octal (base 8) | 31322 |
| Hexadecimal (base 16) | 32D2 |
| Base 3 | 122211212 |
| As time | 13010 seconds = 3 h 36 min 50 s |
Is 13010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13010 ÷ 2 = 6505) | 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 (13010 ÷ 5 = 2602) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13010 ÷ 10 = 1301) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13010 a prime number?
No. 13010 = 2 × 5 × 1301, so it is divisible by 2.
What are the factors of 13010?
1, 2, 5, 10, 1301, 2602, 6505, 13010.
What is 13010 in binary?
11001011010010 (hexadecimal 32D2, octal 31322).
What is the square root of 13010?
About 114.0614.
Is 13010 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 13010?
13010 is a Harshad number: divisible by its digit sum 5.