The number 42700
42700 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 61. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 61, 70, 100, 122 … 42700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42700 is composite. Its prime factorisation is
- 3
The divisors add up to 107632; without 42700 itself that is 64932, so 42700 is abundant (64932 is more than 42700). Euler's totient φ(42700) = 14400 numbers up to 42700 share no factor with it.
- 4
The digits of 42700 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42700 = 2^{2} \times 5^{2} \times 7 \times 61 \]42700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 107632 |
| Euler totient φ(n) | 14400 |
| Square | 1823290000 |
| Cube | 77854483000000 |
| Square root | 206.639783 (= 10√427) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.27 × |
42700 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred |
| Binary (base 2) | 1010011011001100 |
| Octal (base 8) | 123314 |
| Hexadecimal (base 16) | A6CC |
| Base 3 | 2011120111 |
| As time | 42700 seconds = 11 h 51 min 40 s |
Is 42700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42700 ÷ 2 = 21350) | 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 (42700 ÷ 4 = 10675) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42700 ÷ 5 = 8540) | 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 (42700 ÷ 7 = 6100) | 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 | Yes (42700 ÷ 10 = 4270) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42700 a prime number?
No. 42700 = × × 7 × 61, so it is divisible by 2.
What are the factors of 42700?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 61, 70, 100, 122, 140, 175, 244, 305, 350, 427, 610, 700, 854, 1220, 1525, 1708, 2135, 3050, 4270, 6100, 8540, 10675, 21350, 42700.
What is 42700 in binary?
1010011011001100 (hexadecimal A6CC, octal 123314).
What is the square root of 42700?
About 206.6398, exactly 10√427.
Is 42700 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42700?
It is a composite number with 36 divisors.