The number 40624
40624 is a composite number with 10 divisors. Its prime factorisation is × 2539. Divisors (10): 1, 2, 4, 8, 16, 2539, 5078, 10156, 20312, 40624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40624: a Harshad number: divisible by its digit sum 16.
- 2
40624 is composite. Its prime factorisation is
- 3
The divisors add up to 78740; without 40624 itself that is 38116, so 40624 is deficient (38116 is less than 40624). Euler's totient φ(40624) = 20304 numbers up to 40624 share no factor with it.
- 4
The digits of 40624 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40624 = 2^{4} \times 2539 \]40624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 78740 |
| Euler totient φ(n) | 20304 |
| Square | 1650309376 |
| Cube | 67042168090624 |
| Square root | 201.553963 (= 4√2539) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0624 × |
40624 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty-four |
| Binary (base 2) | 1001111010110000 |
| Octal (base 8) | 117260 |
| Hexadecimal (base 16) | 9EB0 |
| Base 3 | 2001201121 |
| As time | 40624 seconds = 11 h 17 min 4 s |
Is 40624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40624 ÷ 2 = 20312) | 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 (40624 ÷ 4 = 10156) | 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 3) | 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 (40624 ÷ 8 = 5078) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 40624 a prime number?
No. 40624 = × 2539, so it is divisible by 2.
What are the factors of 40624?
1, 2, 4, 8, 16, 2539, 5078, 10156, 20312, 40624.
What is 40624 in binary?
1001111010110000 (hexadecimal 9EB0, octal 117260).
What is the square root of 40624?
About 201.5540, exactly 4√2539.
Is 40624 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40624?
40624 is a Harshad number: divisible by its digit sum 16.