The number 16374
16374 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2729. Divisors (8): 1, 2, 3, 6, 2729, 5458, 8187, 16374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16374 is composite. Its prime factorisation is
- 3
The divisors add up to 32760; without 16374 itself that is 16386, so 16374 is abundant (16386 is more than 16374). Euler's totient φ(16374) = 5456 numbers up to 16374 share no factor with it.
- 4
The digits of 16374 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16374 = 2 \times 3 \times 2729 \]
16374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32760 |
| Euler totient φ(n) | 5456 |
| Square | 268107876 |
| Cube | 4389998361624 |
| Square root | 127.960932 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6374 × |
16374 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventy-four |
| Binary (base 2) | 11111111110110 |
| Octal (base 8) | 37766 |
| Hexadecimal (base 16) | 3FF6 |
| Base 3 | 211110110 |
| As time | 16374 seconds = 4 h 32 min 54 s |
Is 16374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16374 ÷ 2 = 8187) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16374 ÷ 3 = 5458) | 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 (16374 ÷ 6 = 2729) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 3) | 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 6) | 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 16374 a prime number?
No. 16374 = 2 × 3 × 2729, so it is divisible by 2.
What are the factors of 16374?
1, 2, 3, 6, 2729, 5458, 8187, 16374.
What is 16374 in binary?
11111111110110 (hexadecimal 3FF6, octal 37766).
What is the square root of 16374?
About 127.9609.
Is 16374 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16374?
It is a composite number with 8 divisors.