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The number 35021

35021 is a composite number with 4 divisors. Its prime factorisation is 7 × 5003. Divisors (4): 1, 7, 5003, 35021.

Number

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How to work it out

  1. 1

    What is special about 35021: a semiprime: 7 × 5003, the product of two primes.

  2. 2

    35021 is composite. Its prime factorisation is

    35021=7×500335021 = 7 \times 5003
  3. 3

    The divisors add up to 40032; without 35021 itself that is 5011, so 35021 is deficient (5011 is less than 35021). Euler's totient φ(35021) = 30012 numbers up to 35021 share no factor with it.

  4. 4

    The digits of 35021 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 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35021 = 7 \times 5003 \]

35021 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40032
Euler totient φ(n)30012
Square1226470441
Cube42952221314261
Square root187.138986
Digit sum / digital root11 / 2
Collatz steps to 180
Scientific notation3.5021 × 10410^{4}

35021 in other forms

FormValue
In wordsthirty-five thousand and twenty-one
Binary (base 2)1000100011001101
Octal (base 8)104315
Hexadecimal (base 16)88CD
Base 31210001002
As time35021 seconds = 9 h 43 min 41 s

Is 35021 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.
7Yes (35021 ÷ 7 = 5003)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 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 8)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 35021 a prime number?

No. 35021 = 7 × 5003, so it is divisible by 7.

What are the factors of 35021?

1, 7, 5003, 35021.

What is 35021 in binary?

1000100011001101 (hexadecimal 88CD, octal 104315).

What is the square root of 35021?

About 187.1390.

Is 35021 divisible by 3?

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

What is special about the number 35021?

35021 is a semiprime: 7 × 5003, the product of two primes.

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    35021: is it prime? Factors, square root, binary, Roman numeral | WordGPT