The number 18601
18601 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 89. Divisors (8): 1, 11, 19, 89, 209, 979, 1691, 18601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18601 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 18601 itself that is 2999, so 18601 is deficient (2999 is less than 18601). Euler's totient φ(18601) = 15840 numbers up to 18601 share no factor with it.
- 4
The digits of 18601 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18601 = 11 \times 19 \times 89 \]
18601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 15840 |
| Square | 345997201 |
| Cube | 6435893935801 |
| Square root | 136.385483 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8601 × |
18601 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand six hundred and one |
| Binary (base 2) | 100100010101001 |
| Octal (base 8) | 44251 |
| Hexadecimal (base 16) | 48A9 |
| Base 3 | 221111221 |
| As time | 18601 seconds = 5 h 10 min 1 s |
Is 18601 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18601 ÷ 11 = 1691) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18601 a prime number?
No. 18601 = 11 × 19 × 89, so it is divisible by 11.
What are the factors of 18601?
1, 11, 19, 89, 209, 979, 1691, 18601.
What is 18601 in binary?
100100010101001 (hexadecimal 48A9, octal 44251).
What is the square root of 18601?
About 136.3855.
Is 18601 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18601?
It is a composite number with 8 divisors.