The number 3759
3759 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 179. Divisors (8): 1, 3, 7, 21, 179, 537, 1253, 3759.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3759 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3759 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 3759 itself that is 2001, so 3759 is deficient (2001 is less than 3759). Euler's totient φ(3759) = 2136 numbers up to 3759 share no factor with it.
- 4
The digits of 3759 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3759 = 3 \times 7 \times 179 \]
3759 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 2136 |
| Square | 14130081 |
| Cube | 53114974479 |
| Square root | 61.310684 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.759 × |
3759 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and fifty-nine |
| Roman numerals | MMMDCCLIX |
| Binary (base 2) | 111010101111 |
| Octal (base 8) | 7257 |
| Hexadecimal (base 16) | EAF |
| Base 3 | 12011020 |
| As time | 3759 seconds = 1 h 2 min 39 s |
Is 3759 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3759 ÷ 3 = 1253) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3759 ÷ 7 = 537) | 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 7) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3759 a prime number?
No. 3759 = 3 × 7 × 179, so it is divisible by 3.
What are the factors of 3759?
1, 3, 7, 21, 179, 537, 1253, 3759.
What is 3759 in binary?
111010101111 (hexadecimal EAF, octal 7257).
What is the square root of 3759?
About 61.3107.
What is 3759 in Roman numerals?
MMMDCCLIX.
Is 3759 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3759?
It is a composite number with 8 divisors.