The number 46690
46690 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 23 × 29. Divisors (32): 1, 2, 5, 7, 10, 14, 23, 29, 35, 46, 58, 70, 115, 145, 161, 203 … 46690.
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How to work it out
- 1
46690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46690 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 46690 itself that is 56990, so 46690 is abundant (56990 is more than 46690). Euler's totient φ(46690) = 14784 numbers up to 46690 share no factor with it.
- 4
The digits of 46690 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46690 = 2 \times 5 \times 7 \times 23 \times 29 \]
46690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 14784 |
| Square | 2179956100 |
| Cube | 101782150309000 |
| Square root | 216.078689 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.669 × |
46690 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and ninety |
| Binary (base 2) | 1011011001100010 |
| Octal (base 8) | 133142 |
| Hexadecimal (base 16) | B662 |
| Base 3 | 2101001021 |
| As time | 46690 seconds = 12 h 58 min 10 s |
Is 46690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46690 ÷ 2 = 23345) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46690 ÷ 5 = 9338) | 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 (46690 ÷ 7 = 6670) | 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 2) | 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 | Yes (46690 ÷ 10 = 4669) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46690 a prime number?
No. 46690 = 2 × 5 × 7 × 23 × 29, so it is divisible by 2.
What are the factors of 46690?
1, 2, 5, 7, 10, 14, 23, 29, 35, 46, 58, 70, 115, 145, 161, 203, 230, 290, 322, 406, 667, 805, 1015, 1334, 1610, 2030, 3335, 4669, 6670, 9338, 23345, 46690.
What is 46690 in binary?
1011011001100010 (hexadecimal B662, octal 133142).
What is the square root of 46690?
About 216.0787.
Is 46690 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46690?
It is a composite number with 32 divisors.