The number 4374
4374 is a composite number with 16 divisors. Its prime factorisation is 2 × . Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4374: a Harshad number: divisible by its digit sum 18.
- 2
4374 is composite. Its prime factorisation is
- 3
The divisors add up to 9840; without 4374 itself that is 5466, so 4374 is abundant (5466 is more than 4374). Euler's totient φ(4374) = 1458 numbers up to 4374 share no factor with it.
- 4
The digits of 4374 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4374 = 2 \times 3^{7} \]4374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9840 |
| Euler totient φ(n) | 1458 |
| Square | 19131876 |
| Cube | 83682825624 |
| Square root | 66.136223 (= 27√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.374 × |
4374 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and seventy-four |
| Binary (base 2) | 1000100010110 |
| Octal (base 8) | 10426 |
| Hexadecimal (base 16) | 1116 |
| Base 3 | 20000000 |
| As time | 4374 seconds = 1 h 12 min 54 s |
Is 4374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4374 ÷ 2 = 2187) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4374 ÷ 3 = 1458) | 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 | Yes (4374 ÷ 6 = 729) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4374 ÷ 9 = 486) | 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 7) | 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 4374 a prime number?
No. 4374 = 2 × , so it is divisible by 2.
What are the factors of 4374?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374.
What is 4374 in binary?
1000100010110 (hexadecimal 1116, octal 10426).
What is the square root of 4374?
About 66.1362, exactly 27√6.
Is 4374 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4374?
4374 is a Harshad number: divisible by its digit sum 18.