The number 83801
83801 is a composite number with 4 divisors. Its prime factorisation is 47 × 1783. Divisors (4): 1, 47, 1783, 83801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83801: a semiprime: 47 × 1783, the product of two primes.
- 2
83801 is composite. Its prime factorisation is
- 3
The divisors add up to 85632; without 83801 itself that is 1831, so 83801 is deficient (1831 is less than 83801). Euler's totient φ(83801) = 81972 numbers up to 83801 share no factor with it.
- 4
The digits of 83801 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83801 = 47 \times 1783 \]
83801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 85632 |
| Euler totient φ(n) | 81972 |
| Square | 7022607601 |
| Cube | 588501539571401 |
| Square root | 289.484024 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3801 × |
83801 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and one |
| Binary (base 2) | 10100011101011001 |
| Octal (base 8) | 243531 |
| Hexadecimal (base 16) | 14759 |
| Base 3 | 11020221202 |
| As time | 83801 seconds = 23 h 16 min 41 s |
Is 83801 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83801 a prime number?
No. 83801 = 47 × 1783, so it is divisible by 47.
What are the factors of 83801?
1, 47, 1783, 83801.
What is 83801 in binary?
10100011101011001 (hexadecimal 14759, octal 243531).
What is the square root of 83801?
About 289.4840.
Is 83801 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83801?
83801 is a semiprime: 47 × 1783, the product of two primes.