The number 46992
46992 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 89. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88 … 46992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46992 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 46992 itself that is 86928, so 46992 is abundant (86928 is more than 46992). Euler's totient φ(46992) = 14080 numbers up to 46992 share no factor with it.
- 4
The digits of 46992 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46992 = 2^{4} \times 3 \times 11 \times 89 \]46992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 14080 |
| Square | 2208248064 |
| Cube | 103769993023488 |
| Square root | 216.776382 (= 4√2937) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6992 × |
46992 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-two |
| Binary (base 2) | 1011011110010000 |
| Octal (base 8) | 133620 |
| Hexadecimal (base 16) | B790 |
| Base 3 | 2101110110 |
| As time | 46992 seconds = 13 h 3 min 12 s |
Is 46992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46992 ÷ 2 = 23496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46992 ÷ 3 = 15664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46992 ÷ 4 = 11748) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46992 ÷ 6 = 7832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (46992 ÷ 8 = 5874) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46992 ÷ 11 = 4272) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46992 ÷ 12 = 3916) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46992 a prime number?
No. 46992 = × 3 × 11 × 89, so it is divisible by 2.
What are the factors of 46992?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 89, 132, 176, 178, 264, 267, 356, 528, 534, 712, 979, 1068, 1424, 1958, 2136, 2937, 3916, 4272, 5874, 7832, 11748, 15664, 23496, 46992.
What is 46992 in binary?
1011011110010000 (hexadecimal B790, octal 133620).
What is the square root of 46992?
About 216.7764, exactly 4√2937.
Is 46992 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46992?
It is a composite number with 40 divisors.