The number 83513
83513 is a composite number with 4 divisors. Its prime factorisation is 23 × 3631. Divisors (4): 1, 23, 3631, 83513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83513: a semiprime: 23 × 3631, the product of two primes.
- 2
83513 is composite. Its prime factorisation is
- 3
The divisors add up to 87168; without 83513 itself that is 3655, so 83513 is deficient (3655 is less than 83513). Euler's totient φ(83513) = 79860 numbers up to 83513 share no factor with it.
- 4
The digits of 83513 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83513 = 23 \times 3631 \]
83513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 87168 |
| Euler totient φ(n) | 79860 |
| Square | 6974421169 |
| Cube | 582454835086697 |
| Square root | 288.986159 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3513 × |
83513 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and thirteen |
| Binary (base 2) | 10100011000111001 |
| Octal (base 8) | 243071 |
| Hexadecimal (base 16) | 14639 |
| Base 3 | 11020120002 |
| As time | 83513 seconds = 23 h 11 min 53 s |
Is 83513 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 3) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 83513 a prime number?
No. 83513 = 23 × 3631, so it is divisible by 23.
What are the factors of 83513?
1, 23, 3631, 83513.
What is 83513 in binary?
10100011000111001 (hexadecimal 14639, octal 243071).
What is the square root of 83513?
About 288.9862.
Is 83513 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83513?
83513 is a semiprime: 23 × 3631, the product of two primes.