The number 42480
42480 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 59. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 42480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42480: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42480 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 42480 itself that is 102600, so 42480 is abundant (102600 is more than 42480). Euler's totient φ(42480) = 11136 numbers up to 42480 share no factor with it.
- 4
The digits of 42480 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42480 = 2^{4} \times 3^{2} \times 5 \times 59 \]42480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 11136 |
| Square | 1804550400 |
| Cube | 76657300992000 |
| Square root | 206.106768 (= 12√295) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.248 × |
42480 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and eighty |
| Binary (base 2) | 1010010111110000 |
| Octal (base 8) | 122760 |
| Hexadecimal (base 16) | A5F0 |
| Base 3 | 2011021100 |
| As time | 42480 seconds = 11 h 48 min 0 s |
Is 42480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42480 ÷ 2 = 21240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42480 ÷ 3 = 14160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42480 ÷ 4 = 10620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42480 ÷ 5 = 8496) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42480 ÷ 6 = 7080) | 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 (42480 ÷ 8 = 5310) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42480 ÷ 9 = 4720) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42480 ÷ 10 = 4248) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42480 ÷ 12 = 3540) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42480 a prime number?
No. 42480 = × × 5 × 59, so it is divisible by 2.
What are the factors of 42480?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 59, 60, 72, 80, 90, 118, 120, 144, 177, 180, 236, 240, 295, 354, 360, 472, 531, 590, 708, 720, 885, 944, 1062, 1180, 1416, 1770, 2124, 2360, 2655, 2832, 3540, 4248, 4720, 5310, 7080, 8496, 10620, 14160, 21240, 42480.
What is 42480 in binary?
1010010111110000 (hexadecimal A5F0, octal 122760).
What is the square root of 42480?
About 206.1068, exactly 12√295.
Is 42480 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42480?
42480 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.