The number 60724
60724 is a composite number with 24 divisors. Its prime factorisation is × 17 × 19 × 47. Divisors (24): 1, 2, 4, 17, 19, 34, 38, 47, 68, 76, 94, 188, 323, 646, 799, 893 … 60724.
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How to work it out
- 1
What is special about 60724: a Harshad number: divisible by its digit sum 19.
- 2
60724 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 60724 itself that is 60236, so 60724 is deficient (60236 is less than 60724). Euler's totient φ(60724) = 26496 numbers up to 60724 share no factor with it.
- 4
The digits of 60724 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60724 = 2^{2} \times 17 \times 19 \times 47 \]60724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 26496 |
| Square | 3687404176 |
| Cube | 223913931183424 |
| Square root | 246.422402 (= 2√15181) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.0724 × |
60724 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and twenty-four |
| Binary (base 2) | 1110110100110100 |
| Octal (base 8) | 166464 |
| Hexadecimal (base 16) | ED34 |
| Base 3 | 10002022001 |
| As time | 60724 seconds = 16 h 52 min 4 s |
Is 60724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60724 ÷ 2 = 30362) | 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 (60724 ÷ 4 = 15181) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 60724 a prime number?
No. 60724 = × 17 × 19 × 47, so it is divisible by 2.
What are the factors of 60724?
1, 2, 4, 17, 19, 34, 38, 47, 68, 76, 94, 188, 323, 646, 799, 893, 1292, 1598, 1786, 3196, 3572, 15181, 30362, 60724.
What is 60724 in binary?
1110110100110100 (hexadecimal ED34, octal 166464).
What is the square root of 60724?
About 246.4224, exactly 2√15181.
Is 60724 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60724?
60724 is a Harshad number: divisible by its digit sum 19.