The number 46123
46123 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 599. Divisors (8): 1, 7, 11, 77, 599, 4193, 6589, 46123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46123 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 46123 itself that is 11477, so 46123 is deficient (11477 is less than 46123). Euler's totient φ(46123) = 35880 numbers up to 46123 share no factor with it.
- 4
The digits of 46123 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46123 = 7 \times 11 \times 599 \]
46123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 35880 |
| Square | 2127331129 |
| Cube | 98118893662867 |
| Square root | 214.762660 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6123 × |
46123 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and twenty-three |
| Binary (base 2) | 1011010000101011 |
| Octal (base 8) | 132053 |
| Hexadecimal (base 16) | B42B |
| Base 3 | 2100021021 |
| As time | 46123 seconds = 12 h 48 min 43 s |
Is 46123 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46123 ÷ 7 = 6589) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46123 ÷ 11 = 4193) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46123 a prime number?
No. 46123 = 7 × 11 × 599, so it is divisible by 7.
What are the factors of 46123?
1, 7, 11, 77, 599, 4193, 6589, 46123.
What is 46123 in binary?
1011010000101011 (hexadecimal B42B, octal 132053).
What is the square root of 46123?
About 214.7627.
Is 46123 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 46123?
It is a composite number with 8 divisors.