The number 83372
83372 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1097. Divisors (12): 1, 2, 4, 19, 38, 76, 1097, 2194, 4388, 20843, 41686, 83372.
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How to work it out
- 1
83372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83372 is composite. Its prime factorisation is
- 3
The divisors add up to 153720; without 83372 itself that is 70348, so 83372 is deficient (70348 is less than 83372). Euler's totient φ(83372) = 39456 numbers up to 83372 share no factor with it.
- 4
The digits of 83372 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83372 = 2^{2} \times 19 \times 1097 \]83372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 153720 |
| Euler totient φ(n) | 39456 |
| Square | 6950890384 |
| Cube | 579509633094848 |
| Square root | 288.742099 (= 2√20843) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3372 × |
83372 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and seventy-two |
| Binary (base 2) | 10100010110101100 |
| Octal (base 8) | 242654 |
| Hexadecimal (base 16) | 145AC |
| Base 3 | 11020100212 |
| As time | 83372 seconds = 23 h 9 min 32 s |
Is 83372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83372 ÷ 2 = 41686) | 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 (83372 ÷ 4 = 20843) | 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 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 83372 a prime number?
No. 83372 = × 19 × 1097, so it is divisible by 2.
What are the factors of 83372?
1, 2, 4, 19, 38, 76, 1097, 2194, 4388, 20843, 41686, 83372.
What is 83372 in binary?
10100010110101100 (hexadecimal 145AC, octal 242654).
What is the square root of 83372?
About 288.7421, exactly 2√20843.
Is 83372 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83372?
It is a composite number with 12 divisors.