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The number 40102

40102 is a composite number with 4 divisors. Its prime factorisation is 2 × 20051. Divisors (4): 1, 2, 20051, 40102.

Number

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How to work it out

  1. 1

    What is special about 40102: a semiprime: 2 × 20051, the product of two primes.

  2. 2

    40102 is composite. Its prime factorisation is

    40102=2×2005140102 = 2 \times 20051
  3. 3

    The divisors add up to 60156; without 40102 itself that is 20054, so 40102 is deficient (20054 is less than 40102). Euler's totient φ(40102) = 20050 numbers up to 40102 share no factor with it.

  4. 4

    The digits of 40102 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40102 = 2 \times 20051 \]

40102 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors60156
Euler totient φ(n)20050
Square1608170404
Cube64490849541208
Square root200.254838
Digit sum / digital root7 / 7
Collatz steps to 193
Scientific notation4.0102 × 10410^{4}

40102 in other forms

FormValue
In wordsforty thousand one hundred and two
Binary (base 2)1001110010100110
Octal (base 8)116246
Hexadecimal (base 16)9CA6
Base 32001000021
As time40102 seconds = 11 h 8 min 22 s

Is 40102 divisible by 2 to 12?

DivisorAnswerRule
2Yes (40102 ÷ 2 = 20051)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 2)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 4)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40102 a prime number?

No. 40102 = 2 × 20051, so it is divisible by 2.

What are the factors of 40102?

1, 2, 20051, 40102.

What is 40102 in binary?

1001110010100110 (hexadecimal 9CA6, octal 116246).

What is the square root of 40102?

About 200.2548.

Is 40102 divisible by 3?

No. Its digits add up to 7, which is not a multiple of 3.

What is special about the number 40102?

40102 is a semiprime: 2 × 20051, the product of two primes.

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