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The number 46465

46465 is a composite number with 4 divisors. Its prime factorisation is 5 × 9293. Divisors (4): 1, 5, 9293, 46465.

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How to work it out

  1. 1

    What is special about 46465: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 9293, the product of two primes.

  2. 2

    46465 is composite. Its prime factorisation is

    46465=5×929346465 = 5 \times 9293
  3. 3

    The divisors add up to 55764; without 46465 itself that is 9299, so 46465 is deficient (9299 is less than 46465). Euler's totient φ(46465) = 37168 numbers up to 46465 share no factor with it.

  4. 4

    The digits of 46465 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46465 = 5 \times 9293 \]

46465 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55764
Euler totient φ(n)37168
Square2158996225
Cube100317759594625
Square root215.557417
Digit sum / digital root25 / 7
Collatz steps to 1114
Scientific notation4.6465 × 10410^{4}

46465 in other forms

FormValue
In wordsforty-six thousand four hundred and sixty-five
Binary (base 2)1011010110000001
Octal (base 8)132601
Hexadecimal (base 16)B581
Base 32100201221
As time46465 seconds = 12 h 54 min 25 s

Is 46465 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 1)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.
5Yes (46465 ÷ 5 = 9293)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 1)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46465 a prime number?

No. 46465 = 5 × 9293, so it is divisible by 5.

What are the factors of 46465?

1, 5, 9293, 46465.

What is 46465 in binary?

1011010110000001 (hexadecimal B581, octal 132601).

What is the square root of 46465?

About 215.5574.

Is 46465 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 46465?

46465 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 9293, the product of two primes.

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