The number 4698
4698 is a composite number with 20 divisors. Its prime factorisation is 2 × × 29. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522 … 4698.
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How to work it out
- 1
What is special about 4698: a Harshad number: divisible by its digit sum 27.
- 2
4698 is composite. Its prime factorisation is
- 3
The divisors add up to 10890; without 4698 itself that is 6192, so 4698 is abundant (6192 is more than 4698). Euler's totient φ(4698) = 1512 numbers up to 4698 share no factor with it.
- 4
The digits of 4698 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4698 = 2 \times 3^{4} \times 29 \]4698 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 10890 |
| Euler totient φ(n) | 1512 |
| Square | 22071204 |
| Cube | 103690516392 |
| Square root | 68.541958 (= 9√58) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.698 × |
4698 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and ninety-eight |
| Binary (base 2) | 1001001011010 |
| Octal (base 8) | 11132 |
| Hexadecimal (base 16) | 125A |
| Base 3 | 20110000 |
| As time | 4698 seconds = 1 h 18 min 18 s |
Is 4698 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4698 ÷ 2 = 2349) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4698 ÷ 3 = 1566) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4698 ÷ 6 = 783) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (4698 ÷ 9 = 522) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4698 a prime number?
No. 4698 = 2 × × 29, so it is divisible by 2.
What are the factors of 4698?
1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698.
What is 4698 in binary?
1001001011010 (hexadecimal 125A, octal 11132).
What is the square root of 4698?
About 68.5420, exactly 9√58.
Is 4698 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4698?
4698 is a Harshad number: divisible by its digit sum 27.