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The number 35994

35994 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 857. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 857, 1714, 2571, 5142, 5999, 11998, 17997, 35994.

Number

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How to work it out

  1. 1

    35994 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

    35994 is composite. Its prime factorisation is

    35994=2×3×7×85735994 = 2 \times 3 \times 7 \times 857
  3. 3

    The divisors add up to 82368; without 35994 itself that is 46374, so 35994 is abundant (46374 is more than 35994). Euler's totient φ(35994) = 10272 numbers up to 35994 share no factor with it.

  4. 4

    The digits of 35994 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35994 = 2 \times 3 \times 7 \times 857 \]

35994 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors82368
Euler totient φ(n)10272
Square1295568036
Cube46632675887784
Square root189.720848
Digit sum / digital root30 / 3
Collatz steps to 149
Scientific notation3.5994 × 10410^{4}

35994 in other forms

FormValue
In wordsthirty-five thousand nine hundred and ninety-four
Binary (base 2)1000110010011010
Octal (base 8)106232
Hexadecimal (base 16)8C9A
Base 31211101010
As time35994 seconds = 9 h 59 min 54 s

Is 35994 divisible by 2 to 12?

DivisorAnswerRule
2Yes (35994 ÷ 2 = 17997)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (35994 ÷ 3 = 11998)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (35994 ÷ 6 = 5999)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (35994 ÷ 7 = 5142)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 35994 a prime number?

No. 35994 = 2 × 3 × 7 × 857, so it is divisible by 2.

What are the factors of 35994?

1, 2, 3, 6, 7, 14, 21, 42, 857, 1714, 2571, 5142, 5999, 11998, 17997, 35994.

What is 35994 in binary?

1000110010011010 (hexadecimal 8C9A, octal 106232).

What is the square root of 35994?

About 189.7208.

Is 35994 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 35994?

It is a composite number with 16 divisors.

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    35994: is it prime? Factors, square root, binary, Roman numeral | WordGPT