The number 53977
53977 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 701. Divisors (8): 1, 7, 11, 77, 701, 4907, 7711, 53977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53977 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 53977 itself that is 13415, so 53977 is deficient (13415 is less than 53977). Euler's totient φ(53977) = 42000 numbers up to 53977 share no factor with it.
- 4
The digits of 53977 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53977 = 7 \times 11 \times 701 \]
53977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 42000 |
| Square | 2913516529 |
| Cube | 157262881685833 |
| Square root | 232.329507 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3977 × |
53977 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and seventy-seven |
| Binary (base 2) | 1101001011011001 |
| Octal (base 8) | 151331 |
| Hexadecimal (base 16) | D2D9 |
| Base 3 | 2202001011 |
| As time | 53977 seconds = 14 h 59 min 37 s |
Is 53977 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53977 ÷ 7 = 7711) | 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 4) | 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 | Yes (53977 ÷ 11 = 4907) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53977 a prime number?
No. 53977 = 7 × 11 × 701, so it is divisible by 7.
What are the factors of 53977?
1, 7, 11, 77, 701, 4907, 7711, 53977.
What is 53977 in binary?
1101001011011001 (hexadecimal D2D9, octal 151331).
What is the square root of 53977?
About 232.3295.
Is 53977 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 53977?
It is a composite number with 8 divisors.