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The number 33101

33101 is a composite number with 4 divisors. Its prime factorisation is 79 × 419. Divisors (4): 1, 79, 419, 33101.

Number

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How to work it out

  1. 1

    What is special about 33101: a semiprime: 79 × 419, the product of two primes.

  2. 2

    33101 is composite. Its prime factorisation is

    33101=79×41933101 = 79 \times 419
  3. 3

    The divisors add up to 33600; without 33101 itself that is 499, so 33101 is deficient (499 is less than 33101). Euler's totient φ(33101) = 32604 numbers up to 33101 share no factor with it.

  4. 4

    The digits of 33101 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33101 = 79 \times 419 \]

33101 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors33600
Euler totient φ(n)32604
Square1095676201
Cube36267977929301
Square root181.936802
Digit sum / digital root8 / 8
Collatz steps to 198
Scientific notation3.3101 × 10410^{4}

33101 in other forms

FormValue
In wordsthirty-three thousand one hundred and one
Binary (base 2)1000000101001101
Octal (base 8)100515
Hexadecimal (base 16)814D
Base 31200101222
As time33101 seconds = 9 h 11 min 41 s

Is 33101 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 5)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 2)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 33101 a prime number?

No. 33101 = 79 × 419, so it is divisible by 79.

What are the factors of 33101?

1, 79, 419, 33101.

What is 33101 in binary?

1000000101001101 (hexadecimal 814D, octal 100515).

What is the square root of 33101?

About 181.9368.

Is 33101 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 33101?

33101 is a semiprime: 79 × 419, the product of two primes.

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