The number 19950
19950 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 7 × 19. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 25, 30, 35, 38, 42 … 19950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19950: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
19950 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 19950 itself that is 39570, so 19950 is abundant (39570 is more than 19950). Euler's totient φ(19950) = 4320 numbers up to 19950 share no factor with it.
- 4
The digits of 19950 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19950 = 2 \times 3 \times 5^{2} \times 7 \times 19 \]19950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 4320 |
| Square | 398002500 |
| Cube | 7940149875000 |
| Square root | 141.244469 (= 5√798) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.995 × |
19950 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and fifty |
| Binary (base 2) | 100110111101110 |
| Octal (base 8) | 46756 |
| Hexadecimal (base 16) | 4DEE |
| Base 3 | 1000100220 |
| As time | 19950 seconds = 5 h 32 min 30 s |
Is 19950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19950 ÷ 2 = 9975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19950 ÷ 3 = 6650) | 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 (19950 ÷ 5 = 3990) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (19950 ÷ 6 = 3325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (19950 ÷ 7 = 2850) | 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 6) | 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 (19950 ÷ 10 = 1995) | 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 19950 a prime number?
No. 19950 = 2 × 3 × × 7 × 19, so it is divisible by 2.
What are the factors of 19950?
1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 25, 30, 35, 38, 42, 50, 57, 70, 75, 95, 105, 114, 133, 150, 175, 190, 210, 266, 285, 350, 399, 475, 525, 570, 665, 798, 950, 1050, 1330, 1425, 1995, 2850, 3325, 3990, 6650, 9975, 19950.
What is 19950 in binary?
100110111101110 (hexadecimal 4DEE, octal 46756).
What is the square root of 19950?
About 141.2445, exactly 5√798.
Is 19950 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 19950?
19950 is a happy number: repeatedly adding the squares of its digits reaches 1.