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The number 46425

46425 is a composite number with 12 divisors. Its prime factorisation is 3 × 525^{2} × 619. Divisors (12): 1, 3, 5, 15, 25, 75, 619, 1857, 3095, 9285, 15475, 46425.

Number

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How to work it out

  1. 1

    What is special about 46425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    46425 is composite. Its prime factorisation is

    46425=3×52×61946425 = 3 \times 5^{2} \times 619
  3. 3

    The divisors add up to 76880; without 46425 itself that is 30455, so 46425 is deficient (30455 is less than 46425). Euler's totient φ(46425) = 24720 numbers up to 46425 share no factor with it.

  4. 4

    The digits of 46425 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46425 = 3 \times 5^{2} \times 619 \]

46425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors76880
Euler totient φ(n)24720
Square2155280625
Cube100058903015625
Square root215.464614 (= 5√1857)
Digit sum / digital root21 / 3
Collatz steps to 1176
Scientific notation4.6425 × 10410^{4}

46425 in other forms

FormValue
In wordsforty-six thousand four hundred and twenty-five
Binary (base 2)1011010101011001
Octal (base 8)132531
Hexadecimal (base 16)B559
Base 32100200110
As time46425 seconds = 12 h 53 min 45 s

Is 46425 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 (46425 ÷ 3 = 15475)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 (46425 ÷ 5 = 9285)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 1)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 3)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 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 46425 a prime number?

No. 46425 = 3 × 525^{2} × 619, so it is divisible by 3.

What are the factors of 46425?

1, 3, 5, 15, 25, 75, 619, 1857, 3095, 9285, 15475, 46425.

What is 46425 in binary?

1011010101011001 (hexadecimal B559, octal 132531).

What is the square root of 46425?

About 215.4646, exactly 5√1857.

Is 46425 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 46425?

46425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    46425: is it prime? Factors, square root, binary, Roman numeral | WordGPT