The number 83448
83448 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 61. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 61, 72 … 83448.
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How to work it out
- 1
83448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83448 is composite. Its prime factorisation is
- 3
The divisors add up to 241800; without 83448 itself that is 158352, so 83448 is abundant (158352 is more than 83448). Euler's totient φ(83448) = 25920 numbers up to 83448 share no factor with it.
- 4
The digits of 83448 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83448 = 2^{3} \times 3^{2} \times 19 \times 61 \]83448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 241800 |
| Euler totient φ(n) | 25920 |
| Square | 6963568704 |
| Cube | 581095881211392 |
| Square root | 288.873675 (= 6√2318) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3448 × |
83448 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and forty-eight |
| Binary (base 2) | 10100010111111000 |
| Octal (base 8) | 242770 |
| Hexadecimal (base 16) | 145F8 |
| Base 3 | 11020110200 |
| As time | 83448 seconds = 23 h 10 min 48 s |
Is 83448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83448 ÷ 2 = 41724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83448 ÷ 3 = 27816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83448 ÷ 4 = 20862) | 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 | Yes (83448 ÷ 6 = 13908) | 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 (83448 ÷ 8 = 10431) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83448 ÷ 9 = 9272) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83448 ÷ 12 = 6954) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83448 a prime number?
No. 83448 = × × 19 × 61, so it is divisible by 2.
What are the factors of 83448?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 61, 72, 76, 114, 122, 152, 171, 183, 228, 244, 342, 366, 456, 488, 549, 684, 732, 1098, 1159, 1368, 1464, 2196, 2318, 3477, 4392, 4636, 6954, 9272, 10431, 13908, 20862, 27816, 41724, 83448.
What is 83448 in binary?
10100010111111000 (hexadecimal 145F8, octal 242770).
What is the square root of 83448?
About 288.8737, exactly 6√2318.
Is 83448 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83448?
It is a composite number with 48 divisors.