The number 83147
83147 is a composite number with 8 divisors. Its prime factorisation is 17 × 67 × 73. Divisors (8): 1, 17, 67, 73, 1139, 1241, 4891, 83147.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83147: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83147 is composite. Its prime factorisation is
- 3
The divisors add up to 90576; without 83147 itself that is 7429, so 83147 is deficient (7429 is less than 83147). Euler's totient φ(83147) = 76032 numbers up to 83147 share no factor with it.
- 4
The digits of 83147 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
\[ 83147 = 17 \times 67 \times 73 \]
83147 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90576 |
| Euler totient φ(n) | 76032 |
| Square | 6913423609 |
| Cube | 574830432817523 |
| Square root | 288.352215 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3147 × |
83147 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and forty-seven |
| Binary (base 2) | 10100010011001011 |
| Octal (base 8) | 242313 |
| Hexadecimal (base 16) | 144CB |
| Base 3 | 11020001112 |
| As time | 83147 seconds = 23 h 5 min 47 s |
Is 83147 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 3) | 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 | No (remainder 1) | 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 | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83147 a prime number?
No. 83147 = 17 × 67 × 73, so it is divisible by 17.
What are the factors of 83147?
1, 17, 67, 73, 1139, 1241, 4891, 83147.
What is 83147 in binary?
10100010011001011 (hexadecimal 144CB, octal 242313).
What is the square root of 83147?
About 288.3522.
Is 83147 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83147?
83147 is a happy number: repeatedly adding the squares of its digits reaches 1.