The number 18802
18802 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 79. Divisors (16): 1, 2, 7, 14, 17, 34, 79, 119, 158, 238, 553, 1106, 1343, 2686, 9401, 18802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18802: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18802 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 18802 itself that is 15758, so 18802 is deficient (15758 is less than 18802). Euler's totient φ(18802) = 7488 numbers up to 18802 share no factor with it.
- 4
The digits of 18802 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18802 = 2 \times 7 \times 17 \times 79 \]
18802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 7488 |
| Square | 353515204 |
| Cube | 6646792865608 |
| Square root | 137.120385 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8802 × |
18802 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and two |
| Binary (base 2) | 100100101110010 |
| Octal (base 8) | 44562 |
| Hexadecimal (base 16) | 4972 |
| Base 3 | 221210101 |
| As time | 18802 seconds = 5 h 13 min 22 s |
Is 18802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18802 ÷ 2 = 9401) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (18802 ÷ 7 = 2686) | 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 2) | 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 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18802 a prime number?
No. 18802 = 2 × 7 × 17 × 79, so it is divisible by 2.
What are the factors of 18802?
1, 2, 7, 14, 17, 34, 79, 119, 158, 238, 553, 1106, 1343, 2686, 9401, 18802.
What is 18802 in binary?
100100101110010 (hexadecimal 4972, octal 44562).
What is the square root of 18802?
About 137.1204.
Is 18802 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18802?
18802 is a happy number: repeatedly adding the squares of its digits reaches 1.