The number 46920
46920 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 17 × 23. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 23, 24, 30, 34 … 46920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46920 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 46920 itself that is 108600, so 46920 is abundant (108600 is more than 46920). Euler's totient φ(46920) = 11264 numbers up to 46920 share no factor with it.
- 4
The digits of 46920 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46920 = 2^{3} \times 3 \times 5 \times 17 \times 23 \]46920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 11264 |
| Square | 2201486400 |
| Cube | 103293741888000 |
| Square root | 216.610249 (= 2√11730) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.692 × |
46920 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and twenty |
| Binary (base 2) | 1011011101001000 |
| Octal (base 8) | 133510 |
| Hexadecimal (base 16) | B748 |
| Base 3 | 2101100210 |
| As time | 46920 seconds = 13 h 2 min 0 s |
Is 46920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46920 ÷ 2 = 23460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46920 ÷ 3 = 15640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46920 ÷ 4 = 11730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46920 ÷ 5 = 9384) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46920 ÷ 6 = 7820) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (46920 ÷ 8 = 5865) | 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 | Yes (46920 ÷ 10 = 4692) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46920 ÷ 12 = 3910) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46920 a prime number?
No. 46920 = × 3 × 5 × 17 × 23, so it is divisible by 2.
What are the factors of 46920?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 23, 24, 30, 34, 40, 46, 51, 60, 68, 69, 85, 92, 102, 115, 120, 136, 138, 170, 184, 204, 230, 255, 276, 340, 345, 391, 408, 460, 510, 552, 680, 690, 782, 920, 1020, 1173, 1380, 1564, 1955, 2040, 2346, 2760, 3128, 3910, 4692, 5865, 7820, 9384, 11730, 15640, 23460, 46920.
What is 46920 in binary?
1011011101001000 (hexadecimal B748, octal 133510).
What is the square root of 46920?
About 216.6102, exactly 2√11730.
Is 46920 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46920?
It is a composite number with 64 divisors.