The number 61803
61803 is a composite number with 20 divisors. Its prime factorisation is × 7 × 109. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 81, 109, 189, 327, 567, 763, 981, 2289, 2943 … 61803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61803 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61803 is composite. Its prime factorisation is
- 3
The divisors add up to 106480; without 61803 itself that is 44677, so 61803 is deficient (44677 is less than 61803). Euler's totient φ(61803) = 34992 numbers up to 61803 share no factor with it.
- 4
The digits of 61803 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61803 = 3^{4} \times 7 \times 109 \]61803 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 106480 |
| Euler totient φ(n) | 34992 |
| Square | 3819610809 |
| Cube | 236063406828627 |
| Square root | 248.602092 (= 9√763) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1803 × |
61803 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand eight hundred and three |
| Binary (base 2) | 1111000101101011 |
| Octal (base 8) | 170553 |
| Hexadecimal (base 16) | F16B |
| Base 3 | 10010210000 |
| As time | 61803 seconds = 17 h 10 min 3 s |
Is 61803 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 | Yes (61803 ÷ 3 = 20601) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61803 ÷ 7 = 8829) | 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 | Yes (61803 ÷ 9 = 6867) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61803 a prime number?
No. 61803 = × 7 × 109, so it is divisible by 3.
What are the factors of 61803?
1, 3, 7, 9, 21, 27, 63, 81, 109, 189, 327, 567, 763, 981, 2289, 2943, 6867, 8829, 20601, 61803.
What is 61803 in binary?
1111000101101011 (hexadecimal F16B, octal 170553).
What is the square root of 61803?
About 248.6021, exactly 9√763.
Is 61803 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61803?
It is a composite number with 20 divisors.