The number 4626
4626 is a composite number with 12 divisors. Its prime factorisation is 2 × × 257. Divisors (12): 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4626: a Harshad number: divisible by its digit sum 18.
- 2
4626 is composite. Its prime factorisation is
- 3
The divisors add up to 10062; without 4626 itself that is 5436, so 4626 is abundant (5436 is more than 4626). Euler's totient φ(4626) = 1536 numbers up to 4626 share no factor with it.
- 4
The digits of 4626 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4626 = 2 \times 3^{2} \times 257 \]4626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10062 |
| Euler totient φ(n) | 1536 |
| Square | 21399876 |
| Cube | 98995826376 |
| Square root | 68.014704 (= 3√514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 108 |
| Scientific notation | 4.626 × |
4626 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and twenty-six |
| Binary (base 2) | 1001000010010 |
| Octal (base 8) | 11022 |
| Hexadecimal (base 16) | 1212 |
| Base 3 | 20100100 |
| As time | 4626 seconds = 1 h 17 min 6 s |
Is 4626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4626 ÷ 2 = 2313) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4626 ÷ 3 = 1542) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4626 ÷ 6 = 771) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4626 ÷ 9 = 514) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4626 a prime number?
No. 4626 = 2 × × 257, so it is divisible by 2.
What are the factors of 4626?
1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626.
What is 4626 in binary?
1001000010010 (hexadecimal 1212, octal 11022).
What is the square root of 4626?
About 68.0147, exactly 3√514.
Is 4626 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4626?
4626 is a Harshad number: divisible by its digit sum 18.