The number 60736
60736 is a composite number with 28 divisors. Its prime factorisation is × 13 × 73. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 73, 104, 146, 208, 292, 416 … 60736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60736: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60736 is composite. Its prime factorisation is
- 3
The divisors add up to 131572; without 60736 itself that is 70836, so 60736 is abundant (70836 is more than 60736). Euler's totient φ(60736) = 27648 numbers up to 60736 share no factor with it.
- 4
The digits of 60736 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60736 = 2^{6} \times 13 \times 73 \]60736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 131572 |
| Euler totient φ(n) | 27648 |
| Square | 3688861696 |
| Cube | 224046703968256 |
| Square root | 246.446749 (= 8√949) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0736 × |
60736 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and thirty-six |
| Binary (base 2) | 1110110101000000 |
| Octal (base 8) | 166500 |
| Hexadecimal (base 16) | ED40 |
| Base 3 | 10002022111 |
| As time | 60736 seconds = 16 h 52 min 16 s |
Is 60736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60736 ÷ 2 = 30368) | 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 (60736 ÷ 4 = 15184) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (60736 ÷ 8 = 7592) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60736 a prime number?
No. 60736 = × 13 × 73, so it is divisible by 2.
What are the factors of 60736?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 73, 104, 146, 208, 292, 416, 584, 832, 949, 1168, 1898, 2336, 3796, 4672, 7592, 15184, 30368, 60736.
What is 60736 in binary?
1110110101000000 (hexadecimal ED40, octal 166500).
What is the square root of 60736?
About 246.4467, exactly 8√949.
Is 60736 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 60736?
60736 is a happy number: repeatedly adding the squares of its digits reaches 1.