The number 57477
57477 is a composite number with 24 divisors. Its prime factorisation is 3 × × 17 × 23. Divisors (24): 1, 3, 7, 17, 21, 23, 49, 51, 69, 119, 147, 161, 357, 391, 483, 833 … 57477.
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How to work it out
- 1
What is special about 57477: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57477 is composite. Its prime factorisation is
- 3
The divisors add up to 98496; without 57477 itself that is 41019, so 57477 is deficient (41019 is less than 57477). Euler's totient φ(57477) = 29568 numbers up to 57477 share no factor with it.
- 4
The digits of 57477 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57477 = 3 \times 7^{2} \times 17 \times 23 \]57477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98496 |
| Euler totient φ(n) | 29568 |
| Square | 3303605529 |
| Cube | 189881334990333 |
| Square root | 239.743613 (= 7√1173) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7477 × |
57477 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and seventy-seven |
| Binary (base 2) | 1110000010000101 |
| Octal (base 8) | 160205 |
| Hexadecimal (base 16) | E085 |
| Base 3 | 2220211210 |
| As time | 57477 seconds = 15 h 57 min 57 s |
Is 57477 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 (57477 ÷ 3 = 19159) | 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 (57477 ÷ 7 = 8211) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | 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 57477 a prime number?
No. 57477 = 3 × × 17 × 23, so it is divisible by 3.
What are the factors of 57477?
1, 3, 7, 17, 21, 23, 49, 51, 69, 119, 147, 161, 357, 391, 483, 833, 1127, 1173, 2499, 2737, 3381, 8211, 19159, 57477.
What is 57477 in binary?
1110000010000101 (hexadecimal E085, octal 160205).
What is the square root of 57477?
About 239.7436, exactly 7√1173.
Is 57477 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57477?
57477 is a happy number: repeatedly adding the squares of its digits reaches 1.