The number 55372
55372 is a composite number with 12 divisors. Its prime factorisation is × 109 × 127. Divisors (12): 1, 2, 4, 109, 127, 218, 254, 436, 508, 13843, 27686, 55372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55372 is composite. Its prime factorisation is
- 3
The divisors add up to 98560; without 55372 itself that is 43188, so 55372 is deficient (43188 is less than 55372). Euler's totient φ(55372) = 27216 numbers up to 55372 share no factor with it.
- 4
The digits of 55372 add up to 22, 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
\[ 55372 = 2^{2} \times 109 \times 127 \]55372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98560 |
| Euler totient φ(n) | 27216 |
| Square | 3066058384 |
| Cube | 169773784838848 |
| Square root | 235.312558 (= 2√13843) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.5372 × |
55372 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and seventy-two |
| Binary (base 2) | 1101100001001100 |
| Octal (base 8) | 154114 |
| Hexadecimal (base 16) | D84C |
| Base 3 | 2210221211 |
| As time | 55372 seconds = 15 h 22 min 52 s |
Is 55372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55372 ÷ 2 = 27686) | 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 | Yes (55372 ÷ 4 = 13843) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55372 a prime number?
No. 55372 = × 109 × 127, so it is divisible by 2.
What are the factors of 55372?
1, 2, 4, 109, 127, 218, 254, 436, 508, 13843, 27686, 55372.
What is 55372 in binary?
1101100001001100 (hexadecimal D84C, octal 154114).
What is the square root of 55372?
About 235.3126, exactly 2√13843.
Is 55372 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55372?
It is a composite number with 12 divisors.