The number 3738
3738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 89. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3738: a Harshad number: divisible by its digit sum 21.
- 2
3738 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 3738 itself that is 4902, so 3738 is abundant (4902 is more than 3738). Euler's totient φ(3738) = 1056 numbers up to 3738 share no factor with it.
- 4
The digits of 3738 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3738 = 2 \times 3 \times 7 \times 89 \]
3738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1056 |
| Square | 13972644 |
| Cube | 52229743272 |
| Square root | 61.139185 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.738 × |
3738 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-eight |
| Roman numerals | MMMDCCXXXVIII |
| Binary (base 2) | 111010011010 |
| Octal (base 8) | 7232 |
| Hexadecimal (base 16) | E9A |
| Base 3 | 12010110 |
| As time | 3738 seconds = 1 h 2 min 18 s |
Is 3738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3738 ÷ 2 = 1869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3738 ÷ 3 = 1246) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3738 ÷ 6 = 623) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3738 ÷ 7 = 534) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3738 a prime number?
No. 3738 = 2 × 3 × 7 × 89, so it is divisible by 2.
What are the factors of 3738?
1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738.
What is 3738 in binary?
111010011010 (hexadecimal E9A, octal 7232).
What is the square root of 3738?
About 61.1392.
What is 3738 in Roman numerals?
MMMDCCXXXVIII.
Is 3738 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3738?
3738 is a Harshad number: divisible by its digit sum 21.