The number 46720
46720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 73. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 128, 146, 160 … 46720.
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How to work it out
- 1
46720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46720 is composite. Its prime factorisation is
- 3
The divisors add up to 113220; without 46720 itself that is 66500, so 46720 is abundant (66500 is more than 46720). Euler's totient φ(46720) = 18432 numbers up to 46720 share no factor with it.
- 4
The digits of 46720 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46720 = 2^{7} \times 5 \times 73 \]46720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 113220 |
| Euler totient φ(n) | 18432 |
| Square | 2182758400 |
| Cube | 101978472448000 |
| Square root | 216.148097 (= 8√730) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.672 × |
46720 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and twenty |
| Binary (base 2) | 1011011010000000 |
| Octal (base 8) | 133200 |
| Hexadecimal (base 16) | B680 |
| Base 3 | 2101002101 |
| As time | 46720 seconds = 12 h 58 min 40 s |
Is 46720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46720 ÷ 2 = 23360) | 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 (46720 ÷ 4 = 11680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46720 ÷ 5 = 9344) | 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 | 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 (46720 ÷ 8 = 5840) | 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 | Yes (46720 ÷ 10 = 4672) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 46720 a prime number?
No. 46720 = × 5 × 73, so it is divisible by 2.
What are the factors of 46720?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 128, 146, 160, 292, 320, 365, 584, 640, 730, 1168, 1460, 2336, 2920, 4672, 5840, 9344, 11680, 23360, 46720.
What is 46720 in binary?
1011011010000000 (hexadecimal B680, octal 133200).
What is the square root of 46720?
About 216.1481, exactly 8√730.
Is 46720 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46720?
It is a composite number with 32 divisors.