The number 19955
19955 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 307. Divisors (8): 1, 5, 13, 65, 307, 1535, 3991, 19955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19955 is composite. Its prime factorisation is
- 3
The divisors add up to 25872; without 19955 itself that is 5917, so 19955 is deficient (5917 is less than 19955). Euler's totient φ(19955) = 14688 numbers up to 19955 share no factor with it.
- 4
The digits of 19955 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19955 = 5 \times 13 \times 307 \]
19955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25872 |
| Euler totient φ(n) | 14688 |
| Square | 398202025 |
| Cube | 7946121408875 |
| Square root | 141.262168 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 1.9955 × |
19955 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and fifty-five |
| Binary (base 2) | 100110111110011 |
| Octal (base 8) | 46763 |
| Hexadecimal (base 16) | 4DF3 |
| Base 3 | 1000101002 |
| As time | 19955 seconds = 5 h 32 min 35 s |
Is 19955 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19955 ÷ 5 = 3991) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19955 a prime number?
No. 19955 = 5 × 13 × 307, so it is divisible by 5.
What are the factors of 19955?
1, 5, 13, 65, 307, 1535, 3991, 19955.
What is 19955 in binary?
100110111110011 (hexadecimal 4DF3, octal 46763).
What is the square root of 19955?
About 141.2622.
Is 19955 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 19955?
It is a composite number with 8 divisors.