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The number 76425

76425 is a composite number with 12 divisors. Its prime factorisation is 3 × 525^{2} × 1019. Divisors (12): 1, 3, 5, 15, 25, 75, 1019, 3057, 5095, 15285, 25475, 76425.

Number

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How to work it out

  1. 1

    What is special about 76425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    76425 is composite. Its prime factorisation is

    76425=3×52×101976425 = 3 \times 5^{2} \times 1019
  3. 3

    The divisors add up to 126480; without 76425 itself that is 50055, so 76425 is deficient (50055 is less than 76425). Euler's totient φ(76425) = 40720 numbers up to 76425 share no factor with it.

  4. 4

    The digits of 76425 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76425 = 3 \times 5^{2} \times 1019 \]

76425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors126480
Euler totient φ(n)40720
Square5840780625
Cube446381659265625
Square root276.450719 (= 5√3057)
Digit sum / digital root24 / 6
Collatz steps to 1169
Scientific notation7.6425 × 10410^{4}

76425 in other forms

FormValue
In wordsseventy-six thousand four hundred and twenty-five
Binary (base 2)10010101010001001
Octal (base 8)225211
Hexadecimal (base 16)12A89
Base 310212211120
As time76425 seconds = 21 h 13 min 45 s

Is 76425 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 (76425 ÷ 3 = 25475)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 (76425 ÷ 5 = 15285)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 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 6)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 8)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 76425 a prime number?

No. 76425 = 3 × 525^{2} × 1019, so it is divisible by 3.

What are the factors of 76425?

1, 3, 5, 15, 25, 75, 1019, 3057, 5095, 15285, 25475, 76425.

What is 76425 in binary?

10010101010001001 (hexadecimal 12A89, octal 225211).

What is the square root of 76425?

About 276.4507, exactly 5√3057.

Is 76425 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 76425?

76425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    76425: is it prime? Factors, square root, binary, Roman numeral | WordGPT