The number 10355
10355 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 109. Divisors (8): 1, 5, 19, 95, 109, 545, 2071, 10355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10355 is composite. Its prime factorisation is
- 3
The divisors add up to 13200; without 10355 itself that is 2845, so 10355 is deficient (2845 is less than 10355). Euler's totient φ(10355) = 7776 numbers up to 10355 share no factor with it.
- 4
The digits of 10355 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10355 = 5 \times 19 \times 109 \]
10355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13200 |
| Euler totient φ(n) | 7776 |
| Square | 107226025 |
| Cube | 1110325488875 |
| Square root | 101.759520 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0355 × |
10355 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and fifty-five |
| Binary (base 2) | 10100001110011 |
| Octal (base 8) | 24163 |
| Hexadecimal (base 16) | 2873 |
| Base 3 | 112012112 |
| As time | 10355 seconds = 2 h 52 min 35 s |
Is 10355 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 | No (remainder 2) | 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 (10355 ÷ 5 = 2071) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10355 a prime number?
No. 10355 = 5 × 19 × 109, so it is divisible by 5.
What are the factors of 10355?
1, 5, 19, 95, 109, 545, 2071, 10355.
What is 10355 in binary?
10100001110011 (hexadecimal 2873, octal 24163).
What is the square root of 10355?
About 101.7595.
Is 10355 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10355?
It is a composite number with 8 divisors.