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The number 40353

40353 is a composite number with 4 divisors. Its prime factorisation is 3 × 13451. Divisors (4): 1, 3, 13451, 40353.

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How to work it out

  1. 1

    What is special about 40353: a semiprime: 3 × 13451, the product of two primes.

  2. 2

    40353 is composite. Its prime factorisation is

    40353=3×1345140353 = 3 \times 13451
  3. 3

    The divisors add up to 53808; without 40353 itself that is 13455, so 40353 is deficient (13455 is less than 40353). Euler's totient φ(40353) = 26900 numbers up to 40353 share no factor with it.

  4. 4

    The digits of 40353 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40353 = 3 \times 13451 \]

40353 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors53808
Euler totient φ(n)26900
Square1628364609
Cube65709397066977
Square root200.880562
Digit sum / digital root15 / 6
Collatz steps to 1168
Scientific notation4.0353 × 10410^{4}

40353 in other forms

FormValue
In wordsforty thousand three hundred and fifty-three
Binary (base 2)1001110110100001
Octal (base 8)116641
Hexadecimal (base 16)9DA1
Base 32001100120
As time40353 seconds = 11 h 12 min 33 s

Is 40353 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).
3Yes (40353 ÷ 3 = 13451)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40353 a prime number?

No. 40353 = 3 × 13451, so it is divisible by 3.

What are the factors of 40353?

1, 3, 13451, 40353.

What is 40353 in binary?

1001110110100001 (hexadecimal 9DA1, octal 116641).

What is the square root of 40353?

About 200.8806.

Is 40353 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 40353?

40353 is a semiprime: 3 × 13451, the product of two primes.

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