The number 46648
46648 is a composite number with 32 divisors. Its prime factorisation is × × 17. Divisors (32): 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196 … 46648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46648: a Harshad number: divisible by its digit sum 28.
- 2
46648 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 46648 itself that is 61352, so 46648 is abundant (61352 is more than 46648). Euler's totient φ(46648) = 18816 numbers up to 46648 share no factor with it.
- 4
The digits of 46648 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46648 = 2^{3} \times 7^{3} \times 17 \]46648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 18816 |
| Square | 2176035904 |
| Cube | 101507722849792 |
| Square root | 215.981481 (= 14√238) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6648 × |
46648 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and forty-eight |
| Binary (base 2) | 1011011000111000 |
| Octal (base 8) | 133070 |
| Hexadecimal (base 16) | B638 |
| Base 3 | 2100222201 |
| As time | 46648 seconds = 12 h 57 min 28 s |
Is 46648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46648 ÷ 2 = 23324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46648 ÷ 4 = 11662) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46648 ÷ 7 = 6664) | 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 (46648 ÷ 8 = 5831) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46648 a prime number?
No. 46648 = × × 17, so it is divisible by 2.
What are the factors of 46648?
1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 343, 392, 476, 686, 833, 952, 1372, 1666, 2744, 3332, 5831, 6664, 11662, 23324, 46648.
What is 46648 in binary?
1011011000111000 (hexadecimal B638, octal 133070).
What is the square root of 46648?
About 215.9815, exactly 14√238.
Is 46648 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46648?
46648 is a Harshad number: divisible by its digit sum 28.