The number 18740
18740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 937. Divisors (12): 1, 2, 4, 5, 10, 20, 937, 1874, 3748, 4685, 9370, 18740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
18740 is composite. Its prime factorisation is
- 3
The divisors add up to 39396; without 18740 itself that is 20656, so 18740 is abundant (20656 is more than 18740). Euler's totient φ(18740) = 7488 numbers up to 18740 share no factor with it.
- 4
The digits of 18740 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18740 = 2^{2} \times 5 \times 937 \]18740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39396 |
| Euler totient φ(n) | 7488 |
| Square | 351187600 |
| Cube | 6581255624000 |
| Square root | 136.894120 (= 2√4685) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.874 × |
18740 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and forty |
| Binary (base 2) | 100100100110100 |
| Octal (base 8) | 44464 |
| Hexadecimal (base 16) | 4934 |
| Base 3 | 221201002 |
| As time | 18740 seconds = 5 h 12 min 20 s |
Is 18740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18740 ÷ 2 = 9370) | 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 | Yes (18740 ÷ 4 = 4685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18740 ÷ 5 = 3748) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18740 ÷ 10 = 1874) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18740 a prime number?
No. 18740 = × 5 × 937, so it is divisible by 2.
What are the factors of 18740?
1, 2, 4, 5, 10, 20, 937, 1874, 3748, 4685, 9370, 18740.
What is 18740 in binary?
100100100110100 (hexadecimal 4934, octal 44464).
What is the square root of 18740?
About 136.8941, exactly 2√4685.
Is 18740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18740?
18740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.