The number 18746
18746 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 103. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 103, 182, 206, 721, 1339, 1442, 2678, 9373, 18746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18746: a Harshad number: divisible by its digit sum 26.
- 2
18746 is composite. Its prime factorisation is
- 3
The divisors add up to 34944; without 18746 itself that is 16198, so 18746 is deficient (16198 is less than 18746). Euler's totient φ(18746) = 7344 numbers up to 18746 share no factor with it.
- 4
The digits of 18746 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18746 = 2 \times 7 \times 13 \times 103 \]
18746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34944 |
| Euler totient φ(n) | 7344 |
| Square | 351412516 |
| Cube | 6587579024936 |
| Square root | 136.916033 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8746 × |
18746 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and forty-six |
| Binary (base 2) | 100100100111010 |
| Octal (base 8) | 44472 |
| Hexadecimal (base 16) | 493A |
| Base 3 | 221201022 |
| As time | 18746 seconds = 5 h 12 min 26 s |
Is 18746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18746 ÷ 2 = 9373) | 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 1) | 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 | Yes (18746 ÷ 7 = 2678) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18746 a prime number?
No. 18746 = 2 × 7 × 13 × 103, so it is divisible by 2.
What are the factors of 18746?
1, 2, 7, 13, 14, 26, 91, 103, 182, 206, 721, 1339, 1442, 2678, 9373, 18746.
What is 18746 in binary?
100100100111010 (hexadecimal 493A, octal 44472).
What is the square root of 18746?
About 136.9160.
Is 18746 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 18746?
18746 is a Harshad number: divisible by its digit sum 26.