The number 1950
1950 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 13. Divisors (24): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78 … 1950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1950: a Harshad number: divisible by its digit sum 15.
- 2
1950 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 1950 itself that is 3258, so 1950 is abundant (3258 is more than 1950). Euler's totient φ(1950) = 480 numbers up to 1950 share no factor with it.
- 4
The digits of 1950 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1950 = 2 \times 3 \times 5^{2} \times 13 \]1950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 480 |
| Square | 3802500 |
| Cube | 7414875000 |
| Square root | 44.158804 (= 5√78) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.95 × |
1950 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and fifty |
| Roman numerals | MCML |
| Binary (base 2) | 11110011110 |
| Octal (base 8) | 3636 |
| Hexadecimal (base 16) | 79E |
| Base 3 | 2200020 |
| As time | 1950 seconds = 32 min 30 s |
Is 1950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1950 ÷ 2 = 975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1950 ÷ 3 = 650) | 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 (1950 ÷ 5 = 390) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1950 ÷ 6 = 325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (1950 ÷ 10 = 195) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 1950 a prime number?
No. 1950 = 2 × 3 × × 13, so it is divisible by 2.
What are the factors of 1950?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950.
What is 1950 in binary?
11110011110 (hexadecimal 79E, octal 3636).
What is the square root of 1950?
About 44.1588, exactly 5√78.
What is 1950 in Roman numerals?
MCML.
Is 1950 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1950?
1950 is a Harshad number: divisible by its digit sum 15.