The number 83472
83472 is a composite number with 40 divisors. Its prime factorisation is × 3 × 37 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 47, 48, 74, 94, 111, 141 … 83472.
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How to work it out
- 1
What is special about 83472: a Harshad number: divisible by its digit sum 24.
- 2
83472 is composite. Its prime factorisation is
- 3
The divisors add up to 226176; without 83472 itself that is 142704, so 83472 is abundant (142704 is more than 83472). Euler's totient φ(83472) = 26496 numbers up to 83472 share no factor with it.
- 4
The digits of 83472 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83472 = 2^{4} \times 3 \times 37 \times 47 \]83472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 226176 |
| Euler totient φ(n) | 26496 |
| Square | 6967574784 |
| Cube | 581597402370048 |
| Square root | 288.915212 (= 4√5217) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3472 × |
83472 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and seventy-two |
| Binary (base 2) | 10100011000010000 |
| Octal (base 8) | 243020 |
| Hexadecimal (base 16) | 14610 |
| Base 3 | 11020111120 |
| As time | 83472 seconds = 23 h 11 min 12 s |
Is 83472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83472 ÷ 2 = 41736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83472 ÷ 3 = 27824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83472 ÷ 4 = 20868) | 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 | Yes (83472 ÷ 6 = 13912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (83472 ÷ 8 = 10434) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83472 ÷ 12 = 6956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83472 a prime number?
No. 83472 = × 3 × 37 × 47, so it is divisible by 2.
What are the factors of 83472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 47, 48, 74, 94, 111, 141, 148, 188, 222, 282, 296, 376, 444, 564, 592, 752, 888, 1128, 1739, 1776, 2256, 3478, 5217, 6956, 10434, 13912, 20868, 27824, 41736, 83472.
What is 83472 in binary?
10100011000010000 (hexadecimal 14610, octal 243020).
What is the square root of 83472?
About 288.9152, exactly 4√5217.
Is 83472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83472?
83472 is a Harshad number: divisible by its digit sum 24.