The number 83272
83272 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1487. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1487, 2974, 5948, 10409, 11896, 20818, 41636, 83272.
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How to work it out
- 1
What is special about 83272: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83272 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 83272 itself that is 95288, so 83272 is abundant (95288 is more than 83272). Euler's totient φ(83272) = 35664 numbers up to 83272 share no factor with it.
- 4
The digits of 83272 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83272 = 2^{3} \times 7 \times 1487 \]83272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 35664 |
| Square | 6934225984 |
| Cube | 577426866139648 |
| Square root | 288.568883 (= 2√20818) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3272 × |
83272 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and seventy-two |
| Binary (base 2) | 10100010101001000 |
| Octal (base 8) | 242510 |
| Hexadecimal (base 16) | 14548 |
| Base 3 | 11020020011 |
| As time | 83272 seconds = 23 h 7 min 52 s |
Is 83272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83272 ÷ 2 = 41636) | 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 (83272 ÷ 4 = 20818) | 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 | Yes (83272 ÷ 7 = 11896) | 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 (83272 ÷ 8 = 10409) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 83272 a prime number?
No. 83272 = × 7 × 1487, so it is divisible by 2.
What are the factors of 83272?
1, 2, 4, 7, 8, 14, 28, 56, 1487, 2974, 5948, 10409, 11896, 20818, 41636, 83272.
What is 83272 in binary?
10100010101001000 (hexadecimal 14548, octal 242510).
What is the square root of 83272?
About 288.5689, exactly 2√20818.
Is 83272 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83272?
83272 is a happy number: repeatedly adding the squares of its digits reaches 1.