The number 85372
85372 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3049. Divisors (12): 1, 2, 4, 7, 14, 28, 3049, 6098, 12196, 21343, 42686, 85372.
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How to work it out
- 1
85372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85372 is composite. Its prime factorisation is
- 3
The divisors add up to 170800; without 85372 itself that is 85428, so 85372 is abundant (85428 is more than 85372). Euler's totient φ(85372) = 36576 numbers up to 85372 share no factor with it.
- 4
The digits of 85372 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85372 = 2^{2} \times 7 \times 3049 \]85372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 170800 |
| Euler totient φ(n) | 36576 |
| Square | 7288378384 |
| Cube | 622223439398848 |
| Square root | 292.184873 (= 2√21343) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.5372 × |
85372 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand three hundred and seventy-two |
| Binary (base 2) | 10100110101111100 |
| Octal (base 8) | 246574 |
| Hexadecimal (base 16) | 14D7C |
| Base 3 | 11100002221 |
| As time | 85372 seconds = 23 h 42 min 52 s |
Is 85372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85372 ÷ 2 = 42686) | 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 (85372 ÷ 4 = 21343) | 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 | Yes (85372 ÷ 7 = 12196) | 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 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85372 a prime number?
No. 85372 = × 7 × 3049, so it is divisible by 2.
What are the factors of 85372?
1, 2, 4, 7, 14, 28, 3049, 6098, 12196, 21343, 42686, 85372.
What is 85372 in binary?
10100110101111100 (hexadecimal 14D7C, octal 246574).
What is the square root of 85372?
About 292.1849, exactly 2√21343.
Is 85372 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 85372?
It is a composite number with 12 divisors.