The number 3749
3749 is a composite number with 4 divisors. Its prime factorisation is 23 × 163. Divisors (4): 1, 23, 163, 3749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3749: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 163, the product of two primes.
- 2
3749 is composite. Its prime factorisation is
- 3
The divisors add up to 3936; without 3749 itself that is 187, so 3749 is deficient (187 is less than 3749). Euler's totient φ(3749) = 3564 numbers up to 3749 share no factor with it.
- 4
The digits of 3749 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3749 = 23 \times 163 \]
3749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3936 |
| Euler totient φ(n) | 3564 |
| Square | 14055001 |
| Cube | 52692198749 |
| Square root | 61.229078 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 175 |
| Scientific notation | 3.749 × |
3749 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-nine |
| Roman numerals | MMMDCCXLIX |
| Binary (base 2) | 111010100101 |
| Octal (base 8) | 7245 |
| Hexadecimal (base 16) | EA5 |
| Base 3 | 12010212 |
| As time | 3749 seconds = 1 h 2 min 29 s |
Is 3749 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3749 a prime number?
No. 3749 = 23 × 163, so it is divisible by 23.
What are the factors of 3749?
1, 23, 163, 3749.
What is 3749 in binary?
111010100101 (hexadecimal EA5, octal 7245).
What is the square root of 3749?
About 61.2291.
What is 3749 in Roman numerals?
MMMDCCXLIX.
Is 3749 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3749?
3749 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 163, the product of two primes.