The number 3760
3760 is a composite number with 20 divisors. Its prime factorisation is × 5 × 47. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470 … 3760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3760: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
3760 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 3760 itself that is 5168, so 3760 is abundant (5168 is more than 3760). Euler's totient φ(3760) = 1472 numbers up to 3760 share no factor with it.
- 4
The digits of 3760 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3760 = 2^{4} \times 5 \times 47 \]3760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 1472 |
| Square | 14137600 |
| Cube | 53157376000 |
| Square root | 61.318839 (= 4√235) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.76 × |
3760 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty |
| Roman numerals | MMMDCCLX |
| Binary (base 2) | 111010110000 |
| Octal (base 8) | 7260 |
| Hexadecimal (base 16) | EB0 |
| Base 3 | 12011021 |
| As time | 3760 seconds = 1 h 2 min 40 s |
Is 3760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3760 ÷ 2 = 1880) | 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 | Yes (3760 ÷ 4 = 940) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3760 ÷ 5 = 752) | 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 1) | 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 | Yes (3760 ÷ 8 = 470) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3760 ÷ 10 = 376) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3760 a prime number?
No. 3760 = × 5 × 47, so it is divisible by 2.
What are the factors of 3760?
1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760.
What is 3760 in binary?
111010110000 (hexadecimal EB0, octal 7260).
What is the square root of 3760?
About 61.3188, exactly 4√235.
What is 3760 in Roman numerals?
MMMDCCLX.
Is 3760 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3760?
3760 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.