The number 42651
42651 is a composite number with 12 divisors. Its prime factorisation is × 7 × 677. Divisors (12): 1, 3, 7, 9, 21, 63, 677, 2031, 4739, 6093, 14217, 42651.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42651: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42651 is composite. Its prime factorisation is
- 3
The divisors add up to 70512; without 42651 itself that is 27861, so 42651 is deficient (27861 is less than 42651). Euler's totient φ(42651) = 24336 numbers up to 42651 share no factor with it.
- 4
The digits of 42651 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42651 = 3^{2} \times 7 \times 677 \]42651 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70512 |
| Euler totient φ(n) | 24336 |
| Square | 1819107801 |
| Cube | 77586766820451 |
| Square root | 206.521185 (= 3√4739) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2651 × |
42651 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and fifty-one |
| Binary (base 2) | 1010011010011011 |
| Octal (base 8) | 123233 |
| Hexadecimal (base 16) | A69B |
| Base 3 | 2011111200 |
| As time | 42651 seconds = 11 h 50 min 51 s |
Is 42651 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42651 ÷ 3 = 14217) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42651 ÷ 7 = 6093) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42651 ÷ 9 = 4739) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42651 a prime number?
No. 42651 = × 7 × 677, so it is divisible by 3.
What are the factors of 42651?
1, 3, 7, 9, 21, 63, 677, 2031, 4739, 6093, 14217, 42651.
What is 42651 in binary?
1010011010011011 (hexadecimal A69B, octal 123233).
What is the square root of 42651?
About 206.5212, exactly 3√4739.
Is 42651 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42651?
42651 is a happy number: repeatedly adding the squares of its digits reaches 1.