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The number 33097

33097 is a composite number with 4 divisors. Its prime factorisation is 23 × 1439. Divisors (4): 1, 23, 1439, 33097.

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How to work it out

  1. 1

    What is special about 33097: a semiprime: 23 × 1439, the product of two primes.

  2. 2

    33097 is composite. Its prime factorisation is

    33097=23×143933097 = 23 \times 1439
  3. 3

    The divisors add up to 34560; without 33097 itself that is 1463, so 33097 is deficient (1463 is less than 33097). Euler's totient φ(33097) = 31636 numbers up to 33097 share no factor with it.

  4. 4

    The digits of 33097 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33097 = 23 \times 1439 \]

33097 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors34560
Euler totient φ(n)31636
Square1095411409
Cube36254831403673
Square root181.925809
Digit sum / digital root22 / 4
Collatz steps to 198
Scientific notation3.3097 × 10410^{4}

33097 in other forms

FormValue
In wordsthirty-three thousand and ninety-seven
Binary (base 2)1000000101001001
Octal (base 8)100511
Hexadecimal (base 16)8149
Base 31200101211
As time33097 seconds = 9 h 11 min 37 s

Is 33097 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 2)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 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.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 33097 a prime number?

No. 33097 = 23 × 1439, so it is divisible by 23.

What are the factors of 33097?

1, 23, 1439, 33097.

What is 33097 in binary?

1000000101001001 (hexadecimal 8149, octal 100511).

What is the square root of 33097?

About 181.9258.

Is 33097 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 33097?

33097 is a semiprime: 23 × 1439, the product of two primes.

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    33097: is it prime? Factors, square root, binary, Roman numeral | WordGPT