The number 72832
72832 is a composite number with 16 divisors. Its prime factorisation is × 569. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 569, 1138, 2276, 4552, 9104, 18208, 36416, 72832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72832: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72832 is composite. Its prime factorisation is
- 3
The divisors add up to 145350; without 72832 itself that is 72518, so 72832 is deficient (72518 is less than 72832). Euler's totient φ(72832) = 36352 numbers up to 72832 share no factor with it.
- 4
The digits of 72832 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72832 = 2^{7} \times 569 \]72832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145350 |
| Euler totient φ(n) | 36352 |
| Square | 5304500224 |
| Cube | 386337360314368 |
| Square root | 269.874045 (= 8√1138) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2832 × |
72832 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and thirty-two |
| Binary (base 2) | 10001110010000000 |
| Octal (base 8) | 216200 |
| Hexadecimal (base 16) | 11C80 |
| Base 3 | 10200220111 |
| As time | 72832 seconds = 20 h 13 min 52 s |
Is 72832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72832 ÷ 2 = 36416) | 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 (72832 ÷ 4 = 18208) | 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 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 (72832 ÷ 8 = 9104) | 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 1) | 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 72832 a prime number?
No. 72832 = × 569, so it is divisible by 2.
What are the factors of 72832?
1, 2, 4, 8, 16, 32, 64, 128, 569, 1138, 2276, 4552, 9104, 18208, 36416, 72832.
What is 72832 in binary?
10001110010000000 (hexadecimal 11C80, octal 216200).
What is the square root of 72832?
About 269.8740, exactly 8√1138.
Is 72832 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72832?
72832 is a happy number: repeatedly adding the squares of its digits reaches 1.