The number 40612
40612 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 71. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 71, 142, 143, 284, 286, 572, 781 … 40612.
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How to work it out
- 1
What is special about 40612: a Harshad number: divisible by its digit sum 13.
- 2
40612 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 40612 itself that is 44060, so 40612 is abundant (44060 is more than 40612). Euler's totient φ(40612) = 16800 numbers up to 40612 share no factor with it.
- 4
The digits of 40612 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40612 = 2^{2} \times 11 \times 13 \times 71 \]40612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 16800 |
| Square | 1649334544 |
| Cube | 66982774500928 |
| Square root | 201.524192 (= 2√10153) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0612 × |
40612 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twelve |
| Binary (base 2) | 1001111010100100 |
| Octal (base 8) | 117244 |
| Hexadecimal (base 16) | 9EA4 |
| Base 3 | 2001201011 |
| As time | 40612 seconds = 11 h 16 min 52 s |
Is 40612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40612 ÷ 2 = 20306) | 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 (40612 ÷ 4 = 10153) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (40612 ÷ 11 = 3692) | 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 40612 a prime number?
No. 40612 = × 11 × 13 × 71, so it is divisible by 2.
What are the factors of 40612?
1, 2, 4, 11, 13, 22, 26, 44, 52, 71, 142, 143, 284, 286, 572, 781, 923, 1562, 1846, 3124, 3692, 10153, 20306, 40612.
What is 40612 in binary?
1001111010100100 (hexadecimal 9EA4, octal 117244).
What is the square root of 40612?
About 201.5242, exactly 2√10153.
Is 40612 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40612?
40612 is a Harshad number: divisible by its digit sum 13.