The number 83501
83501 is a composite number with 4 divisors. Its prime factorisation is 11 × 7591. Divisors (4): 1, 11, 7591, 83501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83501: a semiprime: 11 × 7591, the product of two primes.
- 2
83501 is composite. Its prime factorisation is
- 3
The divisors add up to 91104; without 83501 itself that is 7603, so 83501 is deficient (7603 is less than 83501). Euler's totient φ(83501) = 75900 numbers up to 83501 share no factor with it.
- 4
The digits of 83501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83501 = 11 \times 7591 \]
83501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 91104 |
| Euler totient φ(n) | 75900 |
| Square | 6972417001 |
| Cube | 582203792000501 |
| Square root | 288.965396 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3501 × |
83501 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and one |
| Binary (base 2) | 10100011000101101 |
| Octal (base 8) | 243055 |
| Hexadecimal (base 16) | 1462D |
| Base 3 | 11020112122 |
| As time | 83501 seconds = 23 h 11 min 41 s |
Is 83501 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (83501 ÷ 11 = 7591) | 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 83501 a prime number?
No. 83501 = 11 × 7591, so it is divisible by 11.
What are the factors of 83501?
1, 11, 7591, 83501.
What is 83501 in binary?
10100011000101101 (hexadecimal 1462D, octal 243055).
What is the square root of 83501?
About 288.9654.
Is 83501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83501?
83501 is a semiprime: 11 × 7591, the product of two primes.