The number 37950
37950 is a triangular number: 1 + 2 + … + 275 = 37950. Its prime factorisation is 2 × 3 × × 11 × 23. Divisors (48): 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55 … 37950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37950: a triangular number: 1 + 2 + … + 275 = 37950.
- 2
37950 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 37950 itself that is 69186, so 37950 is abundant (69186 is more than 37950). Euler's totient φ(37950) = 8800 numbers up to 37950 share no factor with it.
- 4
The digits of 37950 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37950 = 2 \times 3 \times 5^{2} \times 11 \times 23 \]37950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 8800 |
| Square | 1440202500 |
| Cube | 54655684875000 |
| Square root | 194.807597 (= 5√1518) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.795 × |
37950 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and fifty |
| Binary (base 2) | 1001010000111110 |
| Octal (base 8) | 112076 |
| Hexadecimal (base 16) | 943E |
| Base 3 | 1221001120 |
| As time | 37950 seconds = 10 h 32 min 30 s |
Is 37950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37950 ÷ 2 = 18975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37950 ÷ 3 = 12650) | 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 (37950 ÷ 5 = 7590) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37950 ÷ 6 = 6325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (37950 ÷ 10 = 3795) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37950 ÷ 11 = 3450) | 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 37950 a prime number?
No. 37950 = 2 × 3 × × 11 × 23, so it is divisible by 2.
What are the factors of 37950?
1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55, 66, 69, 75, 110, 115, 138, 150, 165, 230, 253, 275, 330, 345, 506, 550, 575, 690, 759, 825, 1150, 1265, 1518, 1650, 1725, 2530, 3450, 3795, 6325, 7590, 12650, 18975, 37950.
What is 37950 in binary?
1001010000111110 (hexadecimal 943E, octal 112076).
What is the square root of 37950?
About 194.8076, exactly 5√1518.
Is 37950 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 37950?
37950 is a triangular number: 1 + 2 + … + 275 = 37950.