The number 10029
10029 is a composite number with 4 divisors. Its prime factorisation is 3 × 3343. Divisors (4): 1, 3, 3343, 10029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10029: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3343, the product of two primes.
- 2
10029 is composite. Its prime factorisation is
- 3
The divisors add up to 13376; without 10029 itself that is 3347, so 10029 is deficient (3347 is less than 10029). Euler's totient φ(10029) = 6684 numbers up to 10029 share no factor with it.
- 4
The digits of 10029 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10029 = 3 \times 3343 \]
10029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13376 |
| Euler totient φ(n) | 6684 |
| Square | 100580841 |
| Cube | 1008725254389 |
| Square root | 100.144895 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0029 × |
10029 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-nine |
| Binary (base 2) | 10011100101101 |
| Octal (base 8) | 23455 |
| Hexadecimal (base 16) | 272D |
| Base 3 | 111202110 |
| As time | 10029 seconds = 2 h 47 min 9 s |
Is 10029 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 (10029 ÷ 3 = 3343) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 5) | 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 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10029 a prime number?
No. 10029 = 3 × 3343, so it is divisible by 3.
What are the factors of 10029?
1, 3, 3343, 10029.
What is 10029 in binary?
10011100101101 (hexadecimal 272D, octal 23455).
What is the square root of 10029?
About 100.1449.
Is 10029 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10029?
10029 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3343, the product of two primes.