The number 46926
46926 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 79. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 79, 99, 158, 198 … 46926.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46926: a Harshad number: divisible by its digit sum 27.
- 2
46926 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 46926 itself that is 68274, so 46926 is abundant (68274 is more than 46926). Euler's totient φ(46926) = 14040 numbers up to 46926 share no factor with it.
- 4
The digits of 46926 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46926 = 2 \times 3^{3} \times 11 \times 79 \]46926 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 14040 |
| Square | 2202049476 |
| Cube | 103333373710776 |
| Square root | 216.624098 (= 3√5214) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6926 × |
46926 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and twenty-six |
| Binary (base 2) | 1011011101001110 |
| Octal (base 8) | 133516 |
| Hexadecimal (base 16) | B74E |
| Base 3 | 2101101000 |
| As time | 46926 seconds = 13 h 2 min 6 s |
Is 46926 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46926 ÷ 2 = 23463) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46926 ÷ 3 = 15642) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46926 ÷ 6 = 7821) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46926 ÷ 9 = 5214) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46926 ÷ 11 = 4266) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46926 a prime number?
No. 46926 = 2 × × 11 × 79, so it is divisible by 2.
What are the factors of 46926?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 79, 99, 158, 198, 237, 297, 474, 594, 711, 869, 1422, 1738, 2133, 2607, 4266, 5214, 7821, 15642, 23463, 46926.
What is 46926 in binary?
1011011101001110 (hexadecimal B74E, octal 133516).
What is the square root of 46926?
About 216.6241, exactly 3√5214.
Is 46926 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46926?
46926 is a Harshad number: divisible by its digit sum 27.