The number 60732
60732 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 241. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 60732.
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How to work it out
- 1
What is special about 60732: a Harshad number: divisible by its digit sum 18.
- 2
60732 is composite. Its prime factorisation is
- 3
The divisors add up to 176176; without 60732 itself that is 115444, so 60732 is abundant (115444 is more than 60732). Euler's totient φ(60732) = 17280 numbers up to 60732 share no factor with it.
- 4
The digits of 60732 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60732 = 2^{2} \times 3^{2} \times 7 \times 241 \]60732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 176176 |
| Euler totient φ(n) | 17280 |
| Square | 3688375824 |
| Cube | 224002440543168 |
| Square root | 246.438633 (= 6√1687) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.0732 × |
60732 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and thirty-two |
| Binary (base 2) | 1110110100111100 |
| Octal (base 8) | 166474 |
| Hexadecimal (base 16) | ED3C |
| Base 3 | 10002022100 |
| As time | 60732 seconds = 16 h 52 min 12 s |
Is 60732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60732 ÷ 2 = 30366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60732 ÷ 3 = 20244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60732 ÷ 4 = 15183) | 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 (60732 ÷ 6 = 10122) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60732 ÷ 7 = 8676) | 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 | Yes (60732 ÷ 9 = 6748) | 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 | Yes (60732 ÷ 12 = 5061) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60732 a prime number?
No. 60732 = × × 7 × 241, so it is divisible by 2.
What are the factors of 60732?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 241, 252, 482, 723, 964, 1446, 1687, 2169, 2892, 3374, 4338, 5061, 6748, 8676, 10122, 15183, 20244, 30366, 60732.
What is 60732 in binary?
1110110100111100 (hexadecimal ED3C, octal 166474).
What is the square root of 60732?
About 246.4386, exactly 6√1687.
Is 60732 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60732?
60732 is a Harshad number: divisible by its digit sum 18.