The number 5624
5624 is a composite number with 16 divisors. Its prime factorisation is × 19 × 37. Divisors (16): 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5624 is composite. Its prime factorisation is
- 3
The divisors add up to 11400; without 5624 itself that is 5776, so 5624 is abundant (5776 is more than 5624). Euler's totient φ(5624) = 2592 numbers up to 5624 share no factor with it.
- 4
The digits of 5624 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5624 = 2^{3} \times 19 \times 37 \]5624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11400 |
| Euler totient φ(n) | 2592 |
| Square | 31629376 |
| Cube | 177883610624 |
| Square root | 74.993333 (= 2√1406) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.624 × |
5624 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and twenty-four |
| Binary (base 2) | 1010111111000 |
| Octal (base 8) | 12770 |
| Hexadecimal (base 16) | 15F8 |
| Base 3 | 21201022 |
| As time | 5624 seconds = 1 h 33 min 44 s |
Is 5624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5624 ÷ 2 = 2812) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5624 ÷ 4 = 1406) | 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 2) | 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 (5624 ÷ 8 = 703) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5624 a prime number?
No. 5624 = × 19 × 37, so it is divisible by 2.
What are the factors of 5624?
1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624.
What is 5624 in binary?
1010111111000 (hexadecimal 15F8, octal 12770).
What is the square root of 5624?
About 74.9933, exactly 2√1406.
Is 5624 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5624?
It is a composite number with 16 divisors.