The number 83673
83673 is a composite number with 10 divisors. Its prime factorisation is × 1033. Divisors (10): 1, 3, 9, 27, 81, 1033, 3099, 9297, 27891, 83673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83673: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
83673 is composite. Its prime factorisation is
- 3
The divisors add up to 125114; without 83673 itself that is 41441, so 83673 is deficient (41441 is less than 83673). Euler's totient φ(83673) = 55728 numbers up to 83673 share no factor with it.
- 4
The digits of 83673 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83673 = 3^{4} \times 1033 \]83673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 125114 |
| Euler totient φ(n) | 55728 |
| Square | 7001170929 |
| Cube | 585808975142217 |
| Square root | 289.262856 (= 9√1033) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3673 × |
83673 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and seventy-three |
| Binary (base 2) | 10100011011011001 |
| Octal (base 8) | 243331 |
| Hexadecimal (base 16) | 146D9 |
| Base 3 | 11020210000 |
| As time | 83673 seconds = 23 h 14 min 33 s |
Is 83673 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 | Yes (83673 ÷ 3 = 27891) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (83673 ÷ 9 = 9297) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83673 a prime number?
No. 83673 = × 1033, so it is divisible by 3.
What are the factors of 83673?
1, 3, 9, 27, 81, 1033, 3099, 9297, 27891, 83673.
What is 83673 in binary?
10100011011011001 (hexadecimal 146D9, octal 243331).
What is the square root of 83673?
About 289.2629, exactly 9√1033.
Is 83673 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83673?
83673 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.