The number 10335
10335 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 53. Divisors (16): 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10335: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10335 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 10335 itself that is 7809, so 10335 is deficient (7809 is less than 10335). Euler's totient φ(10335) = 4992 numbers up to 10335 share no factor with it.
- 4
The digits of 10335 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10335 = 3 \times 5 \times 13 \times 53 \]
10335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 4992 |
| Square | 106812225 |
| Cube | 1103904345375 |
| Square root | 101.661202 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.0335 × |
10335 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and thirty-five |
| Binary (base 2) | 10100001011111 |
| Octal (base 8) | 24137 |
| Hexadecimal (base 16) | 285F |
| Base 3 | 112011210 |
| As time | 10335 seconds = 2 h 52 min 15 s |
Is 10335 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 (10335 ÷ 3 = 3445) | 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 (10335 ÷ 5 = 2067) | 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 3) | 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 7) | 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 | No (remainder 6) | 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 10335 a prime number?
No. 10335 = 3 × 5 × 13 × 53, so it is divisible by 3.
What are the factors of 10335?
1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335.
What is 10335 in binary?
10100001011111 (hexadecimal 285F, octal 24137).
What is the square root of 10335?
About 101.6612.
Is 10335 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10335?
10335 is a happy number: repeatedly adding the squares of its digits reaches 1.