The number 39880
39880 is a composite number with 16 divisors. Its prime factorisation is × 5 × 997. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 997, 1994, 3988, 4985, 7976, 9970, 19940, 39880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39880 is composite. Its prime factorisation is
- 3
The divisors add up to 89820; without 39880 itself that is 49940, so 39880 is abundant (49940 is more than 39880). Euler's totient φ(39880) = 15936 numbers up to 39880 share no factor with it.
- 4
The digits of 39880 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39880 = 2^{3} \times 5 \times 997 \]39880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89820 |
| Euler totient φ(n) | 15936 |
| Square | 1590414400 |
| Cube | 63425726272000 |
| Square root | 199.699775 (= 2√9970) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 3.988 × |
39880 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand eight hundred and eighty |
| Binary (base 2) | 1001101111001000 |
| Octal (base 8) | 115710 |
| Hexadecimal (base 16) | 9BC8 |
| Base 3 | 2000201001 |
| As time | 39880 seconds = 11 h 4 min 40 s |
Is 39880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39880 ÷ 2 = 19940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39880 ÷ 4 = 9970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39880 ÷ 5 = 7976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (39880 ÷ 8 = 4985) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39880 ÷ 10 = 3988) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39880 a prime number?
No. 39880 = × 5 × 997, so it is divisible by 2.
What are the factors of 39880?
1, 2, 4, 5, 8, 10, 20, 40, 997, 1994, 3988, 4985, 7976, 9970, 19940, 39880.
What is 39880 in binary?
1001101111001000 (hexadecimal 9BC8, octal 115710).
What is the square root of 39880?
About 199.6998, exactly 2√9970.
Is 39880 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39880?
It is a composite number with 16 divisors.