The number 42372
42372 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 107. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 107 … 42372.
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How to work it out
- 1
What is special about 42372: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42372 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 42372 itself that is 75564, so 42372 is abundant (75564 is more than 42372). Euler's totient φ(42372) = 12720 numbers up to 42372 share no factor with it.
- 4
The digits of 42372 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42372 = 2^{2} \times 3^{2} \times 11 \times 107 \]42372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 12720 |
| Square | 1795386384 |
| Cube | 76074111862848 |
| Square root | 205.844602 (= 6√1177) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2372 × |
42372 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-two |
| Binary (base 2) | 1010010110000100 |
| Octal (base 8) | 122604 |
| Hexadecimal (base 16) | A584 |
| Base 3 | 2011010100 |
| As time | 42372 seconds = 11 h 46 min 12 s |
Is 42372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42372 ÷ 2 = 21186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42372 ÷ 3 = 14124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42372 ÷ 4 = 10593) | 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 (42372 ÷ 6 = 7062) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (42372 ÷ 9 = 4708) | 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 | Yes (42372 ÷ 11 = 3852) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42372 ÷ 12 = 3531) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42372 a prime number?
No. 42372 = × × 11 × 107, so it is divisible by 2.
What are the factors of 42372?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 107, 132, 198, 214, 321, 396, 428, 642, 963, 1177, 1284, 1926, 2354, 3531, 3852, 4708, 7062, 10593, 14124, 21186, 42372.
What is 42372 in binary?
1010010110000100 (hexadecimal A584, octal 122604).
What is the square root of 42372?
About 205.8446, exactly 6√1177.
Is 42372 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42372?
42372 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.