The number 42624
42624 is a palindrome: it reads 42624 backwards too. Its prime factorisation is × × 37. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64 … 42624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42624: a palindrome: it reads 42624 backwards too; a Harshad number: divisible by its digit sum 18.
- 2
42624 is composite. Its prime factorisation is
- 3
The divisors add up to 125970; without 42624 itself that is 83346, so 42624 is abundant (83346 is more than 42624). Euler's totient φ(42624) = 13824 numbers up to 42624 share no factor with it.
- 4
The digits of 42624 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42624 = 2^{7} \times 3^{2} \times 37 \]42624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 125970 |
| Euler totient φ(n) | 13824 |
| Square | 1816805376 |
| Cube | 77439512346624 |
| Square root | 206.455806 (= 24√74) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2624 × |
42624 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twenty-four |
| Binary (base 2) | 1010011010000000 |
| Octal (base 8) | 123200 |
| Hexadecimal (base 16) | A680 |
| Base 3 | 2011110200 |
| As time | 42624 seconds = 11 h 50 min 24 s |
Is 42624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42624 ÷ 2 = 21312) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42624 ÷ 3 = 14208) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42624 ÷ 4 = 10656) | 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 (42624 ÷ 6 = 7104) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (42624 ÷ 8 = 5328) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42624 ÷ 9 = 4736) | 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 (42624 ÷ 12 = 3552) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42624 a prime number?
No. 42624 = × × 37, so it is divisible by 2.
What are the factors of 42624?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 128, 144, 148, 192, 222, 288, 296, 333, 384, 444, 576, 592, 666, 888, 1152, 1184, 1332, 1776, 2368, 2664, 3552, 4736, 5328, 7104, 10656, 14208, 21312, 42624.
What is 42624 in binary?
1010011010000000 (hexadecimal A680, octal 123200).
What is the square root of 42624?
About 206.4558, exactly 24√74.
Is 42624 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42624?
42624 is a palindrome: it reads 42624 backwards too; a Harshad number: divisible by its digit sum 18.