WordGPT

The number 77425

77425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 19 × 163. Divisors (12): 1, 5, 19, 25, 95, 163, 475, 815, 3097, 4075, 15485, 77425.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 77425: a Harshad number: divisible by its digit sum 25.

  2. 2

    77425 is composite. Its prime factorisation is

    77425=52×19×16377425 = 5^{2} \times 19 \times 163
  3. 3

    The divisors add up to 101680; without 77425 itself that is 24255, so 77425 is deficient (24255 is less than 77425). Euler's totient φ(77425) = 58320 numbers up to 77425 share no factor with it.

  4. 4

    The digits of 77425 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 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77425 = 5^{2} \times 19 \times 163 \]

77425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors101680
Euler totient φ(n)58320
Square5994630625
Cube464134276140625
Square root278.253482 (= 5√3097)
Digit sum / digital root25 / 7
Collatz steps to 163
Scientific notation7.7425 × 10410^{4}

77425 in other forms

FormValue
In wordsseventy-seven thousand four hundred and twenty-five
Binary (base 2)10010111001110001
Octal (base 8)227161
Hexadecimal (base 16)12E71
Base 310221012121
As time77425 seconds = 21 h 30 min 25 s

Is 77425 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 (77425 ÷ 5 = 15485)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 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 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 7)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 77425 a prime number?

No. 77425 = 525^{2} × 19 × 163, so it is divisible by 5.

What are the factors of 77425?

1, 5, 19, 25, 95, 163, 475, 815, 3097, 4075, 15485, 77425.

What is 77425 in binary?

10010111001110001 (hexadecimal 12E71, octal 227161).

What is the square root of 77425?

About 278.2535, exactly 5√3097.

Is 77425 divisible by 3?

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

What is special about the number 77425?

77425 is a Harshad number: divisible by its digit sum 25.

Find the next one

Nearby numbers

    77425: is it prime? Factors, square root, binary, Roman numeral | WordGPT