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The number 33401

33401 is a composite number with 4 divisors. Its prime factorisation is 127 × 263. Divisors (4): 1, 127, 263, 33401.

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How to work it out

  1. 1

    What is special about 33401: a semiprime: 127 × 263, the product of two primes.

  2. 2

    33401 is composite. Its prime factorisation is

    33401=127×26333401 = 127 \times 263
  3. 3

    The divisors add up to 33792; without 33401 itself that is 391, so 33401 is deficient (391 is less than 33401). Euler's totient φ(33401) = 33012 numbers up to 33401 share no factor with it.

  4. 4

    The digits of 33401 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33401 = 127 \times 263 \]

33401 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors33792
Euler totient φ(n)33012
Square1115626801
Cube37263050780201
Square root182.759405
Digit sum / digital root11 / 2
Collatz steps to 167
Scientific notation3.3401 × 10410^{4}

33401 in other forms

FormValue
In wordsthirty-three thousand four hundred and one
Binary (base 2)1000001001111001
Octal (base 8)101171
Hexadecimal (base 16)8279
Base 31200211002
As time33401 seconds = 9 h 16 min 41 s

Is 33401 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 2)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 33401 a prime number?

No. 33401 = 127 × 263, so it is divisible by 127.

What are the factors of 33401?

1, 127, 263, 33401.

What is 33401 in binary?

1000001001111001 (hexadecimal 8279, octal 101171).

What is the square root of 33401?

About 182.7594.

Is 33401 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 33401?

33401 is a semiprime: 127 × 263, the product of two primes.

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    33401: is it prime? Factors, square root, binary, Roman numeral | WordGPT