The number 13035
13035 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 79. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 79, 165, 237, 395, 869, 1185, 2607, 4345, 13035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13035: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13035 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 13035 itself that is 10005, so 13035 is deficient (10005 is less than 13035). Euler's totient φ(13035) = 6240 numbers up to 13035 share no factor with it.
- 4
The digits of 13035 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13035 = 3 \times 5 \times 11 \times 79 \]
13035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 6240 |
| Square | 169911225 |
| Cube | 2214792817875 |
| Square root | 114.170924 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3035 × |
13035 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and thirty-five |
| Binary (base 2) | 11001011101011 |
| Octal (base 8) | 31353 |
| Hexadecimal (base 16) | 32EB |
| Base 3 | 122212210 |
| As time | 13035 seconds = 3 h 37 min 15 s |
Is 13035 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13035 ÷ 3 = 4345) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13035 ÷ 5 = 2607) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13035 ÷ 11 = 1185) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13035 a prime number?
No. 13035 = 3 × 5 × 11 × 79, so it is divisible by 3.
What are the factors of 13035?
1, 3, 5, 11, 15, 33, 55, 79, 165, 237, 395, 869, 1185, 2607, 4345, 13035.
What is 13035 in binary?
11001011101011 (hexadecimal 32EB, octal 31353).
What is the square root of 13035?
About 114.1709.
Is 13035 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13035?
13035 is a happy number: repeatedly adding the squares of its digits reaches 1.