The number 46976
46976 is a composite number with 16 divisors. Its prime factorisation is × 367. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 367, 734, 1468, 2936, 5872, 11744, 23488, 46976.
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How to work it out
- 1
What is special about 46976: a Harshad number: divisible by its digit sum 32.
- 2
46976 is composite. Its prime factorisation is
- 3
The divisors add up to 93840; without 46976 itself that is 46864, so 46976 is deficient (46864 is less than 46976). Euler's totient φ(46976) = 23424 numbers up to 46976 share no factor with it.
- 4
The digits of 46976 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46976 = 2^{7} \times 367 \]46976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93840 |
| Euler totient φ(n) | 23424 |
| Square | 2206744576 |
| Cube | 103664033202176 |
| Square root | 216.739475 (= 8√734) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6976 × |
46976 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventy-six |
| Binary (base 2) | 1011011110000000 |
| Octal (base 8) | 133600 |
| Hexadecimal (base 16) | B780 |
| Base 3 | 2101102212 |
| As time | 46976 seconds = 13 h 2 min 56 s |
Is 46976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46976 ÷ 2 = 23488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46976 ÷ 4 = 11744) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (46976 ÷ 8 = 5872) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46976 a prime number?
No. 46976 = × 367, so it is divisible by 2.
What are the factors of 46976?
1, 2, 4, 8, 16, 32, 64, 128, 367, 734, 1468, 2936, 5872, 11744, 23488, 46976.
What is 46976 in binary?
1011011110000000 (hexadecimal B780, octal 133600).
What is the square root of 46976?
About 216.7395, exactly 8√734.
Is 46976 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 46976?
46976 is a Harshad number: divisible by its digit sum 32.