The number 50172
50172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 113. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 111, 113, 148, 222, 226, 339, 444, 452 … 50172.
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How to work it out
- 1
What is special about 50172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50172 is composite. Its prime factorisation is
- 3
The divisors add up to 121296; without 50172 itself that is 71124, so 50172 is abundant (71124 is more than 50172). Euler's totient φ(50172) = 16128 numbers up to 50172 share no factor with it.
- 4
The digits of 50172 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50172 = 2^{2} \times 3 \times 37 \times 113 \]50172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121296 |
| Euler totient φ(n) | 16128 |
| Square | 2517229584 |
| Cube | 126294442688448 |
| Square root | 223.991071 (= 2√12543) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0172 × |
50172 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and seventy-two |
| Binary (base 2) | 1100001111111100 |
| Octal (base 8) | 141774 |
| Hexadecimal (base 16) | C3FC |
| Base 3 | 2112211020 |
| As time | 50172 seconds = 13 h 56 min 12 s |
Is 50172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50172 ÷ 2 = 25086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50172 ÷ 3 = 16724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50172 ÷ 4 = 12543) | 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 | Yes (50172 ÷ 6 = 8362) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50172 ÷ 12 = 4181) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50172 a prime number?
No. 50172 = × 3 × 37 × 113, so it is divisible by 2.
What are the factors of 50172?
1, 2, 3, 4, 6, 12, 37, 74, 111, 113, 148, 222, 226, 339, 444, 452, 678, 1356, 4181, 8362, 12543, 16724, 25086, 50172.
What is 50172 in binary?
1100001111111100 (hexadecimal C3FC, octal 141774).
What is the square root of 50172?
About 223.9911, exactly 2√12543.
Is 50172 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 50172?
50172 is a happy number: repeatedly adding the squares of its digits reaches 1.