The number 46608
46608 is a composite number with 20 divisors. Its prime factorisation is × 3 × 971. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 971, 1942, 2913, 3884, 5826, 7768 … 46608.
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How to work it out
- 1
What is special about 46608: a Harshad number: divisible by its digit sum 24.
- 2
46608 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 46608 itself that is 73920, so 46608 is abundant (73920 is more than 46608). Euler's totient φ(46608) = 15520 numbers up to 46608 share no factor with it.
- 4
The digits of 46608 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46608 = 2^{4} \times 3 \times 971 \]46608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 15520 |
| Square | 2172305664 |
| Cube | 101246822387712 |
| Square root | 215.888860 (= 4√2913) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6608 × |
46608 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eight |
| Binary (base 2) | 1011011000010000 |
| Octal (base 8) | 133020 |
| Hexadecimal (base 16) | B610 |
| Base 3 | 2100221020 |
| As time | 46608 seconds = 12 h 56 min 48 s |
Is 46608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46608 ÷ 2 = 23304) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46608 ÷ 3 = 15536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46608 ÷ 4 = 11652) | 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 (46608 ÷ 6 = 7768) | 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 | Yes (46608 ÷ 8 = 5826) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (46608 ÷ 12 = 3884) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46608 a prime number?
No. 46608 = × 3 × 971, so it is divisible by 2.
What are the factors of 46608?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 971, 1942, 2913, 3884, 5826, 7768, 11652, 15536, 23304, 46608.
What is 46608 in binary?
1011011000010000 (hexadecimal B610, octal 133020).
What is the square root of 46608?
About 215.8889, exactly 4√2913.
Is 46608 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46608?
46608 is a Harshad number: divisible by its digit sum 24.