The number 3762
3762 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 19. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171 … 3762.
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How to work it out
- 1
What is special about 3762: a Harshad number: divisible by its digit sum 18.
- 2
3762 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 3762 itself that is 5598, so 3762 is abundant (5598 is more than 3762). Euler's totient φ(3762) = 1080 numbers up to 3762 share no factor with it.
- 4
The digits of 3762 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3762 = 2 \times 3^{2} \times 11 \times 19 \]3762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 1080 |
| Square | 14152644 |
| Cube | 53242246728 |
| Square root | 61.335145 (= 3√418) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.762 × |
3762 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-two |
| Roman numerals | MMMDCCLXII |
| Binary (base 2) | 111010110010 |
| Octal (base 8) | 7262 |
| Hexadecimal (base 16) | EB2 |
| Base 3 | 12011100 |
| As time | 3762 seconds = 1 h 2 min 42 s |
Is 3762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3762 ÷ 2 = 1881) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3762 ÷ 3 = 1254) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3762 ÷ 6 = 627) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3762 ÷ 9 = 418) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3762 ÷ 11 = 342) | 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 3762 a prime number?
No. 3762 = 2 × × 11 × 19, so it is divisible by 2.
What are the factors of 3762?
1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762.
What is 3762 in binary?
111010110010 (hexadecimal EB2, octal 7262).
What is the square root of 3762?
About 61.3351, exactly 3√418.
What is 3762 in Roman numerals?
MMMDCCLXII.
Is 3762 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3762?
3762 is a Harshad number: divisible by its digit sum 18.