The number 83237
83237 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 23 × 47. Divisors (16): 1, 7, 11, 23, 47, 77, 161, 253, 329, 517, 1081, 1771, 3619, 7567, 11891, 83237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83237: a Harshad number: divisible by its digit sum 23.
- 2
83237 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 83237 itself that is 27355, so 83237 is deficient (27355 is less than 83237). Euler's totient φ(83237) = 60720 numbers up to 83237 share no factor with it.
- 4
The digits of 83237 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83237 = 7 \times 11 \times 23 \times 47 \]
83237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 60720 |
| Square | 6928398169 |
| Cube | 576699078393053 |
| Square root | 288.508232 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3237 × |
83237 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and thirty-seven |
| Binary (base 2) | 10100010100100101 |
| Octal (base 8) | 242445 |
| Hexadecimal (base 16) | 14525 |
| Base 3 | 11020011212 |
| As time | 83237 seconds = 23 h 7 min 17 s |
Is 83237 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 2) | 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 | Yes (83237 ÷ 7 = 11891) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83237 ÷ 11 = 7567) | 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 83237 a prime number?
No. 83237 = 7 × 11 × 23 × 47, so it is divisible by 7.
What are the factors of 83237?
1, 7, 11, 23, 47, 77, 161, 253, 329, 517, 1081, 1771, 3619, 7567, 11891, 83237.
What is 83237 in binary?
10100010100100101 (hexadecimal 14525, octal 242445).
What is the square root of 83237?
About 288.5082.
Is 83237 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83237?
83237 is a Harshad number: divisible by its digit sum 23.