The number 19880
19880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 71. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 71, 140 … 19880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19880 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 19880 itself that is 31960, so 19880 is abundant (31960 is more than 19880). Euler's totient φ(19880) = 6720 numbers up to 19880 share no factor with it.
- 4
The digits of 19880 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19880 = 2^{3} \times 5 \times 7 \times 71 \]19880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 6720 |
| Square | 395214400 |
| Cube | 7856862272000 |
| Square root | 140.996454 (= 2√4970) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.988 × |
19880 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand eight hundred and eighty |
| Binary (base 2) | 100110110101000 |
| Octal (base 8) | 46650 |
| Hexadecimal (base 16) | 4DA8 |
| Base 3 | 1000021022 |
| As time | 19880 seconds = 5 h 31 min 20 s |
Is 19880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19880 ÷ 2 = 9940) | 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 (19880 ÷ 4 = 4970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19880 ÷ 5 = 3976) | 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 (19880 ÷ 7 = 2840) | 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 | Yes (19880 ÷ 8 = 2485) | 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 (19880 ÷ 10 = 1988) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 19880 a prime number?
No. 19880 = × 5 × 7 × 71, so it is divisible by 2.
What are the factors of 19880?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 71, 140, 142, 280, 284, 355, 497, 568, 710, 994, 1420, 1988, 2485, 2840, 3976, 4970, 9940, 19880.
What is 19880 in binary?
100110110101000 (hexadecimal 4DA8, octal 46650).
What is the square root of 19880?
About 140.9965, exactly 2√4970.
Is 19880 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 19880?
It is a composite number with 32 divisors.