The number 18980
18980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 73. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 73, 130, 146, 260, 292, 365 … 18980.
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How to work it out
- 1
What is special about 18980: a Harshad number: divisible by its digit sum 26.
- 2
18980 is composite. Its prime factorisation is
- 3
The divisors add up to 43512; without 18980 itself that is 24532, so 18980 is abundant (24532 is more than 18980). Euler's totient φ(18980) = 6912 numbers up to 18980 share no factor with it.
- 4
The digits of 18980 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18980 = 2^{2} \times 5 \times 13 \times 73 \]18980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 43512 |
| Euler totient φ(n) | 6912 |
| Square | 360240400 |
| Cube | 6837362792000 |
| Square root | 137.767921 (= 2√4745) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.898 × |
18980 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and eighty |
| Binary (base 2) | 100101000100100 |
| Octal (base 8) | 45044 |
| Hexadecimal (base 16) | 4A24 |
| Base 3 | 222000222 |
| As time | 18980 seconds = 5 h 16 min 20 s |
Is 18980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18980 ÷ 2 = 9490) | 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 (18980 ÷ 4 = 4745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18980 ÷ 5 = 3796) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18980 ÷ 10 = 1898) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 18980 a prime number?
No. 18980 = × 5 × 13 × 73, so it is divisible by 2.
What are the factors of 18980?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 73, 130, 146, 260, 292, 365, 730, 949, 1460, 1898, 3796, 4745, 9490, 18980.
What is 18980 in binary?
100101000100100 (hexadecimal 4A24, octal 45044).
What is the square root of 18980?
About 137.7679, exactly 2√4745.
Is 18980 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 18980?
18980 is a Harshad number: divisible by its digit sum 26.