The number 10050
10050 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 67. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 134, 150, 201, 335 … 10050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10050: a Harshad number: divisible by its digit sum 6.
- 2
10050 is composite. Its prime factorisation is
- 3
The divisors add up to 25296; without 10050 itself that is 15246, so 10050 is abundant (15246 is more than 10050). Euler's totient φ(10050) = 2640 numbers up to 10050 share no factor with it.
- 4
The digits of 10050 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10050 = 2 \times 3 \times 5^{2} \times 67 \]10050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25296 |
| Euler totient φ(n) | 2640 |
| Square | 101002500 |
| Cube | 1015075125000 |
| Square root | 100.249688 (= 5√402) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.005 × |
10050 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and fifty |
| Binary (base 2) | 10011101000010 |
| Octal (base 8) | 23502 |
| Hexadecimal (base 16) | 2742 |
| Base 3 | 111210020 |
| As time | 10050 seconds = 2 h 47 min 30 s |
Is 10050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10050 ÷ 2 = 5025) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10050 ÷ 3 = 3350) | 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 (10050 ÷ 5 = 2010) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10050 ÷ 6 = 1675) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10050 ÷ 10 = 1005) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10050 a prime number?
No. 10050 = 2 × 3 × × 67, so it is divisible by 2.
What are the factors of 10050?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 134, 150, 201, 335, 402, 670, 1005, 1675, 2010, 3350, 5025, 10050.
What is 10050 in binary?
10011101000010 (hexadecimal 2742, octal 23502).
What is the square root of 10050?
About 100.2497, exactly 5√402.
Is 10050 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10050?
10050 is a Harshad number: divisible by its digit sum 6.