The number 24840
24840 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 23. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27 … 24840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24840: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24840 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 24840 itself that is 61560, so 24840 is abundant (61560 is more than 24840). Euler's totient φ(24840) = 6336 numbers up to 24840 share no factor with it.
- 4
The digits of 24840 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24840 = 2^{3} \times 3^{3} \times 5 \times 23 \]24840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 6336 |
| Square | 617025600 |
| Cube | 15326915904000 |
| Square root | 157.607106 (= 6√690) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.484 × |
24840 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and forty |
| Binary (base 2) | 110000100001000 |
| Octal (base 8) | 60410 |
| Hexadecimal (base 16) | 6108 |
| Base 3 | 1021002000 |
| As time | 24840 seconds = 6 h 54 min 0 s |
Is 24840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24840 ÷ 2 = 12420) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24840 ÷ 3 = 8280) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24840 ÷ 4 = 6210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24840 ÷ 5 = 4968) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24840 ÷ 6 = 4140) | 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 (24840 ÷ 8 = 3105) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24840 ÷ 9 = 2760) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24840 ÷ 10 = 2484) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24840 ÷ 12 = 2070) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24840 a prime number?
No. 24840 = × × 5 × 23, so it is divisible by 2.
What are the factors of 24840?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 54, 60, 69, 72, 90, 92, 108, 115, 120, 135, 138, 180, 184, 207, 216, 230, 270, 276, 345, 360, 414, 460, 540, 552, 621, 690, 828, 920, 1035, 1080, 1242, 1380, 1656, 2070, 2484, 2760, 3105, 4140, 4968, 6210, 8280, 12420, 24840.
What is 24840 in binary?
110000100001000 (hexadecimal 6108, octal 60410).
What is the square root of 24840?
About 157.6071, exactly 6√690.
Is 24840 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24840?
24840 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.