The number 60444
60444 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 73. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 73, 92, 138, 146 … 60444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60444: a Harshad number: divisible by its digit sum 18.
- 2
60444 is composite. Its prime factorisation is
- 3
The divisors add up to 161616; without 60444 itself that is 101172, so 60444 is abundant (101172 is more than 60444). Euler's totient φ(60444) = 19008 numbers up to 60444 share no factor with it.
- 4
The digits of 60444 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 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60444 = 2^{2} \times 3^{2} \times 23 \times 73 \]60444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 161616 |
| Euler totient φ(n) | 19008 |
| Square | 3653477136 |
| Cube | 220830772008384 |
| Square root | 245.853615 (= 6√1679) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0444 × |
60444 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and forty-four |
| Binary (base 2) | 1110110000011100 |
| Octal (base 8) | 166034 |
| Hexadecimal (base 16) | EC1C |
| Base 3 | 10001220200 |
| As time | 60444 seconds = 16 h 47 min 24 s |
Is 60444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60444 ÷ 2 = 30222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60444 ÷ 3 = 20148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60444 ÷ 4 = 15111) | 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 | Yes (60444 ÷ 6 = 10074) | 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 | Yes (60444 ÷ 9 = 6716) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60444 ÷ 12 = 5037) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60444 a prime number?
No. 60444 = × × 23 × 73, so it is divisible by 2.
What are the factors of 60444?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 73, 92, 138, 146, 207, 219, 276, 292, 414, 438, 657, 828, 876, 1314, 1679, 2628, 3358, 5037, 6716, 10074, 15111, 20148, 30222, 60444.
What is 60444 in binary?
1110110000011100 (hexadecimal EC1C, octal 166034).
What is the square root of 60444?
About 245.8536, exactly 6√1679.
Is 60444 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60444?
60444 is a Harshad number: divisible by its digit sum 18.