The number 16874
16874 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 59. Divisors (16): 1, 2, 11, 13, 22, 26, 59, 118, 143, 286, 649, 767, 1298, 1534, 8437, 16874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16874: a Harshad number: divisible by its digit sum 26.
- 2
16874 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 16874 itself that is 13366, so 16874 is deficient (13366 is less than 16874). Euler's totient φ(16874) = 6960 numbers up to 16874 share no factor with it.
- 4
The digits of 16874 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16874 = 2 \times 11 \times 13 \times 59 \]
16874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 6960 |
| Square | 284731876 |
| Cube | 4804565675624 |
| Square root | 129.899962 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6874 × |
16874 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and seventy-four |
| Binary (base 2) | 100000111101010 |
| Octal (base 8) | 40752 |
| Hexadecimal (base 16) | 41EA |
| Base 3 | 212010222 |
| As time | 16874 seconds = 4 h 41 min 14 s |
Is 16874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16874 ÷ 2 = 8437) | 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 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (16874 ÷ 11 = 1534) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16874 a prime number?
No. 16874 = 2 × 11 × 13 × 59, so it is divisible by 2.
What are the factors of 16874?
1, 2, 11, 13, 22, 26, 59, 118, 143, 286, 649, 767, 1298, 1534, 8437, 16874.
What is 16874 in binary?
100000111101010 (hexadecimal 41EA, octal 40752).
What is the square root of 16874?
About 129.9000.
Is 16874 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16874?
16874 is a Harshad number: divisible by its digit sum 26.