The number 10450
10450 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 19. Divisors (24): 1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275 … 10450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10450: a Harshad number: divisible by its digit sum 10.
- 2
10450 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 10450 itself that is 11870, so 10450 is abundant (11870 is more than 10450). Euler's totient φ(10450) = 3600 numbers up to 10450 share no factor with it.
- 4
The digits of 10450 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10450 = 2 \times 5^{2} \times 11 \times 19 \]10450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 3600 |
| Square | 109202500 |
| Cube | 1141166125000 |
| Square root | 102.225242 (= 5√418) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.045 × |
10450 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and fifty |
| Binary (base 2) | 10100011010010 |
| Octal (base 8) | 24322 |
| Hexadecimal (base 16) | 28D2 |
| Base 3 | 112100001 |
| As time | 10450 seconds = 2 h 54 min 10 s |
Is 10450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10450 ÷ 2 = 5225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (10450 ÷ 5 = 2090) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10450 ÷ 10 = 1045) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10450 ÷ 11 = 950) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10450 a prime number?
No. 10450 = 2 × × 11 × 19, so it is divisible by 2.
What are the factors of 10450?
1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275, 418, 475, 550, 950, 1045, 2090, 5225, 10450.
What is 10450 in binary?
10100011010010 (hexadecimal 28D2, octal 24322).
What is the square root of 10450?
About 102.2252, exactly 5√418.
Is 10450 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10450?
10450 is a Harshad number: divisible by its digit sum 10.