The number 46629
46629 is a composite number with 16 divisors. Its prime factorisation is × 11 × 157. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 157, 297, 471, 1413, 1727, 4239, 5181, 15543, 46629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46629: a Harshad number: divisible by its digit sum 27.
- 2
46629 is composite. Its prime factorisation is
- 3
The divisors add up to 75840; without 46629 itself that is 29211, so 46629 is deficient (29211 is less than 46629). Euler's totient φ(46629) = 28080 numbers up to 46629 share no factor with it.
- 4
The digits of 46629 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46629 = 3^{3} \times 11 \times 157 \]46629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75840 |
| Euler totient φ(n) | 28080 |
| Square | 2174263641 |
| Cube | 101383739316189 |
| Square root | 215.937491 (= 3√5181) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6629 × |
46629 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and twenty-nine |
| Binary (base 2) | 1011011000100101 |
| Octal (base 8) | 133045 |
| Hexadecimal (base 16) | B625 |
| Base 3 | 2100222000 |
| As time | 46629 seconds = 12 h 57 min 9 s |
Is 46629 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46629 ÷ 3 = 15543) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46629 ÷ 9 = 5181) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46629 ÷ 11 = 4239) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46629 a prime number?
No. 46629 = × 11 × 157, so it is divisible by 3.
What are the factors of 46629?
1, 3, 9, 11, 27, 33, 99, 157, 297, 471, 1413, 1727, 4239, 5181, 15543, 46629.
What is 46629 in binary?
1011011000100101 (hexadecimal B625, octal 133045).
What is the square root of 46629?
About 215.9375, exactly 3√5181.
Is 46629 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46629?
46629 is a Harshad number: divisible by its digit sum 27.