The number 60032
60032 is a composite number with 32 divisors. Its prime factorisation is × 7 × 67. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 128, 134, 224 … 60032.
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How to work it out
- 1
What is special about 60032: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60032 is composite. Its prime factorisation is
- 3
The divisors add up to 138720; without 60032 itself that is 78688, so 60032 is abundant (78688 is more than 60032). Euler's totient φ(60032) = 25344 numbers up to 60032 share no factor with it.
- 4
The digits of 60032 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60032 = 2^{7} \times 7 \times 67 \]60032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 138720 |
| Euler totient φ(n) | 25344 |
| Square | 3603841024 |
| Cube | 216345784352768 |
| Square root | 245.014285 (= 8√938) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.0032 × |
60032 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and thirty-two |
| Binary (base 2) | 1110101010000000 |
| Octal (base 8) | 165200 |
| Hexadecimal (base 16) | EA80 |
| Base 3 | 10001100102 |
| As time | 60032 seconds = 16 h 40 min 32 s |
Is 60032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60032 ÷ 2 = 30016) | 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 (60032 ÷ 4 = 15008) | 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 | Yes (60032 ÷ 7 = 8576) | 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 (60032 ÷ 8 = 7504) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 60032 a prime number?
No. 60032 = × 7 × 67, so it is divisible by 2.
What are the factors of 60032?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 128, 134, 224, 268, 448, 469, 536, 896, 938, 1072, 1876, 2144, 3752, 4288, 7504, 8576, 15008, 30016, 60032.
What is 60032 in binary?
1110101010000000 (hexadecimal EA80, octal 165200).
What is the square root of 60032?
About 245.0143, exactly 8√938.
Is 60032 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60032?
60032 is a happy number: repeatedly adding the squares of its digits reaches 1.