The number 4746
4746 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 113. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4746: a Harshad number: divisible by its digit sum 21.
- 2
4746 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 4746 itself that is 6198, so 4746 is abundant (6198 is more than 4746). Euler's totient φ(4746) = 1344 numbers up to 4746 share no factor with it.
- 4
The digits of 4746 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4746 = 2 \times 3 \times 7 \times 113 \]
4746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 1344 |
| Square | 22524516 |
| Cube | 106901352936 |
| Square root | 68.891219 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.746 × |
4746 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-six |
| Binary (base 2) | 1001010001010 |
| Octal (base 8) | 11212 |
| Hexadecimal (base 16) | 128A |
| Base 3 | 20111210 |
| As time | 4746 seconds = 1 h 19 min 6 s |
Is 4746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4746 ÷ 2 = 2373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4746 ÷ 3 = 1582) | 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 (4746 ÷ 6 = 791) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4746 ÷ 7 = 678) | 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 | No (remainder 3) | 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 5) | 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 4746 a prime number?
No. 4746 = 2 × 3 × 7 × 113, so it is divisible by 2.
What are the factors of 4746?
1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746.
What is 4746 in binary?
1001010001010 (hexadecimal 128A, octal 11212).
What is the square root of 4746?
About 68.8912.
Is 4746 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4746?
4746 is a Harshad number: divisible by its digit sum 21.