The number 42976
42976 is a composite number with 24 divisors. Its prime factorisation is × 17 × 79. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 79, 136, 158, 272, 316, 544, 632 … 42976.
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How to work it out
- 1
42976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42976 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 42976 itself that is 47744, so 42976 is abundant (47744 is more than 42976). Euler's totient φ(42976) = 19968 numbers up to 42976 share no factor with it.
- 4
The digits of 42976 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42976 = 2^{5} \times 17 \times 79 \]42976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 19968 |
| Square | 1846936576 |
| Cube | 79373946290176 |
| Square root | 207.306536 (= 4√2686) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2976 × |
42976 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and seventy-six |
| Binary (base 2) | 1010011111100000 |
| Octal (base 8) | 123740 |
| Hexadecimal (base 16) | A7E0 |
| Base 3 | 2011221201 |
| As time | 42976 seconds = 11 h 56 min 16 s |
Is 42976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42976 ÷ 2 = 21488) | 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 (42976 ÷ 4 = 10744) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (42976 ÷ 8 = 5372) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 10) | 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 42976 a prime number?
No. 42976 = × 17 × 79, so it is divisible by 2.
What are the factors of 42976?
1, 2, 4, 8, 16, 17, 32, 34, 68, 79, 136, 158, 272, 316, 544, 632, 1264, 1343, 2528, 2686, 5372, 10744, 21488, 42976.
What is 42976 in binary?
1010011111100000 (hexadecimal A7E0, octal 123740).
What is the square root of 42976?
About 207.3065, exactly 4√2686.
Is 42976 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42976?
It is a composite number with 24 divisors.