The number 55377
55377 is a composite number with 16 divisors. Its prime factorisation is × 7 × 293. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 293, 879, 2051, 2637, 6153, 7911, 18459, 55377.
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How to work it out
- 1
What is special about 55377: a Harshad number: divisible by its digit sum 27.
- 2
55377 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 55377 itself that is 38703, so 55377 is deficient (38703 is less than 55377). Euler's totient φ(55377) = 31536 numbers up to 55377 share no factor with it.
- 4
The digits of 55377 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55377 = 3^{3} \times 7 \times 293 \]55377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 31536 |
| Square | 3066612129 |
| Cube | 169819779867633 |
| Square root | 235.323182 (= 3√6153) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.5377 × |
55377 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and seventy-seven |
| Binary (base 2) | 1101100001010001 |
| Octal (base 8) | 154121 |
| Hexadecimal (base 16) | D851 |
| Base 3 | 2210222000 |
| As time | 55377 seconds = 15 h 22 min 57 s |
Is 55377 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 (55377 ÷ 3 = 18459) | 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 (55377 ÷ 7 = 7911) | 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 | Yes (55377 ÷ 9 = 6153) | 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 3) | 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 55377 a prime number?
No. 55377 = × 7 × 293, so it is divisible by 3.
What are the factors of 55377?
1, 3, 7, 9, 21, 27, 63, 189, 293, 879, 2051, 2637, 6153, 7911, 18459, 55377.
What is 55377 in binary?
1101100001010001 (hexadecimal D851, octal 154121).
What is the square root of 55377?
About 235.3232, exactly 3√6153.
Is 55377 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55377?
55377 is a Harshad number: divisible by its digit sum 27.