The number 46977
46977 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2237. Divisors (8): 1, 3, 7, 21, 2237, 6711, 15659, 46977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46977 is composite. Its prime factorisation is
- 3
The divisors add up to 71616; without 46977 itself that is 24639, so 46977 is deficient (24639 is less than 46977). Euler's totient φ(46977) = 26832 numbers up to 46977 share no factor with it.
- 4
The digits of 46977 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46977 = 3 \times 7 \times 2237 \]
46977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71616 |
| Euler totient φ(n) | 26832 |
| Square | 2206838529 |
| Cube | 103670653576833 |
| Square root | 216.741782 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6977 × |
46977 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventy-seven |
| Binary (base 2) | 1011011110000001 |
| Octal (base 8) | 133601 |
| Hexadecimal (base 16) | B781 |
| Base 3 | 2101102220 |
| As time | 46977 seconds = 13 h 2 min 57 s |
Is 46977 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 (46977 ÷ 3 = 15659) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46977 ÷ 7 = 6711) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46977 a prime number?
No. 46977 = 3 × 7 × 2237, so it is divisible by 3.
What are the factors of 46977?
1, 3, 7, 21, 2237, 6711, 15659, 46977.
What is 46977 in binary?
1011011110000001 (hexadecimal B781, octal 133601).
What is the square root of 46977?
About 216.7418.
Is 46977 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46977?
It is a composite number with 8 divisors.