The number 72332
72332 is a composite number with 18 divisors. Its prime factorisation is × × 107. Divisors (18): 1, 2, 4, 13, 26, 52, 107, 169, 214, 338, 428, 676, 1391, 2782, 5564, 18083 … 72332.
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How to work it out
- 1
72332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72332 is composite. Its prime factorisation is
- 3
The divisors add up to 138348; without 72332 itself that is 66016, so 72332 is deficient (66016 is less than 72332). Euler's totient φ(72332) = 33072 numbers up to 72332 share no factor with it.
- 4
The digits of 72332 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72332 = 2^{2} \times 13^{2} \times 107 \]72332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 138348 |
| Euler totient φ(n) | 33072 |
| Square | 5231918224 |
| Cube | 378435108978368 |
| Square root | 268.946091 (= 26√107) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2332 × |
72332 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and thirty-two |
| Binary (base 2) | 10001101010001100 |
| Octal (base 8) | 215214 |
| Hexadecimal (base 16) | 11A8C |
| Base 3 | 10200012222 |
| As time | 72332 seconds = 20 h 5 min 32 s |
Is 72332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72332 ÷ 2 = 36166) | 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 (72332 ÷ 4 = 18083) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 72332 a prime number?
No. 72332 = × × 107, so it is divisible by 2.
What are the factors of 72332?
1, 2, 4, 13, 26, 52, 107, 169, 214, 338, 428, 676, 1391, 2782, 5564, 18083, 36166, 72332.
What is 72332 in binary?
10001101010001100 (hexadecimal 11A8C, octal 215214).
What is the square root of 72332?
About 268.9461, exactly 26√107.
Is 72332 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72332?
It is a composite number with 18 divisors.