The number 83572
83572 is a composite number with 12 divisors. Its prime factorisation is × 17 × 1229. Divisors (12): 1, 2, 4, 17, 34, 68, 1229, 2458, 4916, 20893, 41786, 83572.
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How to work it out
- 1
83572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83572 is composite. Its prime factorisation is
- 3
The divisors add up to 154980; without 83572 itself that is 71408, so 83572 is deficient (71408 is less than 83572). Euler's totient φ(83572) = 39296 numbers up to 83572 share no factor with it.
- 4
The digits of 83572 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83572 = 2^{2} \times 17 \times 1229 \]83572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154980 |
| Euler totient φ(n) | 39296 |
| Square | 6984279184 |
| Cube | 583690179965248 |
| Square root | 289.088222 (= 2√20893) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.3572 × |
83572 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and seventy-two |
| Binary (base 2) | 10100011001110100 |
| Octal (base 8) | 243164 |
| Hexadecimal (base 16) | 14674 |
| Base 3 | 11020122021 |
| As time | 83572 seconds = 23 h 12 min 52 s |
Is 83572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83572 ÷ 2 = 41786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83572 ÷ 4 = 20893) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83572 a prime number?
No. 83572 = × 17 × 1229, so it is divisible by 2.
What are the factors of 83572?
1, 2, 4, 17, 34, 68, 1229, 2458, 4916, 20893, 41786, 83572.
What is 83572 in binary?
10100011001110100 (hexadecimal 14674, octal 243164).
What is the square root of 83572?
About 289.0882, exactly 2√20893.
Is 83572 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 83572?
It is a composite number with 12 divisors.