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The number 85442

85442 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 359. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 238, 359, 718, 2513, 5026, 6103, 12206, 42721, 85442.

Number

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How to work it out

  1. 1

    85442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    85442 is composite. Its prime factorisation is

    85442=2×7×17×35985442 = 2 \times 7 \times 17 \times 359
  3. 3

    The divisors add up to 155520; without 85442 itself that is 70078, so 85442 is deficient (70078 is less than 85442). Euler's totient φ(85442) = 34368 numbers up to 85442 share no factor with it.

  4. 4

    The digits of 85442 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 85442 = 2 \times 7 \times 17 \times 359 \]

85442 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors155520
Euler totient φ(n)34368
Square7300335364
Cube623755254170888
Square root292.304636
Digit sum / digital root23 / 5
Collatz steps to 1102
Scientific notation8.5442 × 10410^{4}

85442 in other forms

FormValue
In wordseighty-five thousand four hundred and forty-two
Binary (base 2)10100110111000010
Octal (base 8)246702
Hexadecimal (base 16)14DC2
Base 311100012112
As time85442 seconds = 23 h 44 min 2 s

Is 85442 divisible by 2 to 12?

DivisorAnswerRule
2Yes (85442 ÷ 2 = 42721)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (85442 ÷ 7 = 12206)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 85442 a prime number?

No. 85442 = 2 × 7 × 17 × 359, so it is divisible by 2.

What are the factors of 85442?

1, 2, 7, 14, 17, 34, 119, 238, 359, 718, 2513, 5026, 6103, 12206, 42721, 85442.

What is 85442 in binary?

10100110111000010 (hexadecimal 14DC2, octal 246702).

What is the square root of 85442?

About 292.3046.

Is 85442 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 85442?

It is a composite number with 16 divisors.

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    85442: is it prime? Factors, square root, binary, Roman numeral | WordGPT