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The number 33361

33361 is a composite number with 4 divisors. Its prime factorisation is 73 × 457. Divisors (4): 1, 73, 457, 33361.

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How to work it out

  1. 1

    What is special about 33361: a semiprime: 73 × 457, the product of two primes.

  2. 2

    33361 is composite. Its prime factorisation is

    33361=73×45733361 = 73 \times 457
  3. 3

    The divisors add up to 33892; without 33361 itself that is 531, so 33361 is deficient (531 is less than 33361). Euler's totient φ(33361) = 32832 numbers up to 33361 share no factor with it.

  4. 4

    The digits of 33361 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33361 = 73 \times 457 \]

33361 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors33892
Euler totient φ(n)32832
Square1112956321
Cube37129335824881
Square root182.649938
Digit sum / digital root16 / 7
Collatz steps to 1116
Scientific notation3.3361 × 10410^{4}

33361 in other forms

FormValue
In wordsthirty-three thousand three hundred and sixty-one
Binary (base 2)1000001001010001
Octal (base 8)101121
Hexadecimal (base 16)8251
Base 31200202121
As time33361 seconds = 9 h 16 min 1 s

Is 33361 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 33361 a prime number?

No. 33361 = 73 × 457, so it is divisible by 73.

What are the factors of 33361?

1, 73, 457, 33361.

What is 33361 in binary?

1000001001010001 (hexadecimal 8251, octal 101121).

What is the square root of 33361?

About 182.6499.

Is 33361 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 33361?

33361 is a semiprime: 73 × 457, the product of two primes.

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