The number 83552
83552 is a composite number with 24 divisors. Its prime factorisation is × 7 × 373. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 373, 746, 1492, 2611 … 83552.
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How to work it out
- 1
83552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83552 is composite. Its prime factorisation is
- 3
The divisors add up to 188496; without 83552 itself that is 104944, so 83552 is abundant (104944 is more than 83552). Euler's totient φ(83552) = 35712 numbers up to 83552 share no factor with it.
- 4
The digits of 83552 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83552 = 2^{5} \times 7 \times 373 \]83552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 188496 |
| Euler totient φ(n) | 35712 |
| Square | 6980936704 |
| Cube | 583271223492608 |
| Square root | 289.053628 (= 4√5222) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.3552 × |
83552 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and fifty-two |
| Binary (base 2) | 10100011001100000 |
| Octal (base 8) | 243140 |
| Hexadecimal (base 16) | 14660 |
| Base 3 | 11020121112 |
| As time | 83552 seconds = 23 h 12 min 32 s |
Is 83552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83552 ÷ 2 = 41776) | 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 (83552 ÷ 4 = 20888) | 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 | Yes (83552 ÷ 7 = 11936) | 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 (83552 ÷ 8 = 10444) | 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 7) | 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 83552 a prime number?
No. 83552 = × 7 × 373, so it is divisible by 2.
What are the factors of 83552?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 373, 746, 1492, 2611, 2984, 5222, 5968, 10444, 11936, 20888, 41776, 83552.
What is 83552 in binary?
10100011001100000 (hexadecimal 14660, octal 243140).
What is the square root of 83552?
About 289.0536, exactly 4√5222.
Is 83552 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83552?
It is a composite number with 24 divisors.