The number 13880
13880 is a composite number with 16 divisors. Its prime factorisation is × 5 × 347. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 347, 694, 1388, 1735, 2776, 3470, 6940, 13880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13880: a Harshad number: divisible by its digit sum 20.
- 2
13880 is composite. Its prime factorisation is
- 3
The divisors add up to 31320; without 13880 itself that is 17440, so 13880 is abundant (17440 is more than 13880). Euler's totient φ(13880) = 5536 numbers up to 13880 share no factor with it.
- 4
The digits of 13880 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13880 = 2^{3} \times 5 \times 347 \]13880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31320 |
| Euler totient φ(n) | 5536 |
| Square | 192654400 |
| Cube | 2674043072000 |
| Square root | 117.813412 (= 2√3470) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.388 × |
13880 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty |
| Binary (base 2) | 11011000111000 |
| Octal (base 8) | 33070 |
| Hexadecimal (base 16) | 3638 |
| Base 3 | 201001002 |
| As time | 13880 seconds = 3 h 51 min 20 s |
Is 13880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13880 ÷ 2 = 6940) | 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 (13880 ÷ 4 = 3470) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13880 ÷ 5 = 2776) | 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 6) | 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 (13880 ÷ 8 = 1735) | 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 (13880 ÷ 10 = 1388) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13880 a prime number?
No. 13880 = × 5 × 347, so it is divisible by 2.
What are the factors of 13880?
1, 2, 4, 5, 8, 10, 20, 40, 347, 694, 1388, 1735, 2776, 3470, 6940, 13880.
What is 13880 in binary?
11011000111000 (hexadecimal 3638, octal 33070).
What is the square root of 13880?
About 117.8134, exactly 2√3470.
Is 13880 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13880?
13880 is a Harshad number: divisible by its digit sum 20.