The number 83672
83672 is a composite number with 8 divisors. Its prime factorisation is × 10459. Divisors (8): 1, 2, 4, 8, 10459, 20918, 41836, 83672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83672 is composite. Its prime factorisation is
- 3
The divisors add up to 156900; without 83672 itself that is 73228, so 83672 is deficient (73228 is less than 83672). Euler's totient φ(83672) = 41832 numbers up to 83672 share no factor with it.
- 4
The digits of 83672 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83672 = 2^{3} \times 10459 \]83672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 156900 |
| Euler totient φ(n) | 41832 |
| Square | 7001003584 |
| Cube | 585787971880448 |
| Square root | 289.261128 (= 2√20918) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3672 × |
83672 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and seventy-two |
| Binary (base 2) | 10100011011011000 |
| Octal (base 8) | 243330 |
| Hexadecimal (base 16) | 146D8 |
| Base 3 | 11020202222 |
| As time | 83672 seconds = 23 h 14 min 32 s |
Is 83672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83672 ÷ 2 = 41836) | 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 | Yes (83672 ÷ 4 = 20918) | 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 2) | 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 | Yes (83672 ÷ 8 = 10459) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83672 a prime number?
No. 83672 = × 10459, so it is divisible by 2.
What are the factors of 83672?
1, 2, 4, 8, 10459, 20918, 41836, 83672.
What is 83672 in binary?
10100011011011000 (hexadecimal 146D8, octal 243330).
What is the square root of 83672?
About 289.2611, exactly 2√20918.
Is 83672 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83672?
It is a composite number with 8 divisors.