The number 3874
3874 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 149. Divisors (8): 1, 2, 13, 26, 149, 298, 1937, 3874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3874 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3874 is composite. Its prime factorisation is
- 3
The divisors add up to 6300; without 3874 itself that is 2426, so 3874 is deficient (2426 is less than 3874). Euler's totient φ(3874) = 1776 numbers up to 3874 share no factor with it.
- 4
The digits of 3874 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3874 = 2 \times 13 \times 149 \]
3874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6300 |
| Euler totient φ(n) | 1776 |
| Square | 15007876 |
| Cube | 58140511624 |
| Square root | 62.241465 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.874 × |
3874 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and seventy-four |
| Roman numerals | MMMDCCCLXXIV |
| Binary (base 2) | 111100100010 |
| Octal (base 8) | 7442 |
| Hexadecimal (base 16) | F22 |
| Base 3 | 12022111 |
| As time | 3874 seconds = 1 h 4 min 34 s |
Is 3874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3874 ÷ 2 = 1937) | 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 | No (remainder 2) | 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 4) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3874 a prime number?
No. 3874 = 2 × 13 × 149, so it is divisible by 2.
What are the factors of 3874?
1, 2, 13, 26, 149, 298, 1937, 3874.
What is 3874 in binary?
111100100010 (hexadecimal F22, octal 7442).
What is the square root of 3874?
About 62.2415.
What is 3874 in Roman numerals?
MMMDCCCLXXIV.
Is 3874 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3874?
It is a composite number with 8 divisors.