The number 4624
4624 is a perfect square (68²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4624: a perfect square (68²); a Harshad number: divisible by its digit sum 16.
- 2
4624 is composite. Its prime factorisation is
- 3
The divisors add up to 9517; without 4624 itself that is 4893, so 4624 is abundant (4893 is more than 4624). Euler's totient φ(4624) = 2176 numbers up to 4624 share no factor with it.
- 4
The digits of 4624 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4624 = 2^{4} \times 17^{2} \]4624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 9517 |
| Euler totient φ(n) | 2176 |
| Square | 21381376 |
| Cube | 98867482624 |
| Square root | 68 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.624 × |
| Perfect power |
4624 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and twenty-four |
| Binary (base 2) | 1001000010000 |
| Octal (base 8) | 11020 |
| Hexadecimal (base 16) | 1210 |
| Base 3 | 20100021 |
| As time | 4624 seconds = 1 h 17 min 4 s |
Is 4624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4624 ÷ 2 = 2312) | 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 (4624 ÷ 4 = 1156) | 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 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 (4624 ÷ 8 = 578) | 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 4) | 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 4624 a prime number?
No. 4624 = × , so it is divisible by 2.
What are the factors of 4624?
1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624.
What is 4624 in binary?
1001000010000 (hexadecimal 1210, octal 11020).
What is the square root of 4624?
68, because 68 × 68 = 4624.
Is 4624 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4624?
4624 is a perfect square (68²); a Harshad number: divisible by its digit sum 16.