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The number 25425

25425 is a triangular number: 1 + 2 + … + 225 = 25425. Its prime factorisation is 323^{2} × 525^{2} × 113. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 113, 225, 339, 565, 1017, 1695, 2825, 5085 … 25425.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 25425: a triangular number: 1 + 2 + … + 225 = 25425.

  2. 2

    25425 is composite. Its prime factorisation is

    25425=32×52×11325425 = 3^{2} \times 5^{2} \times 113
  3. 3

    The divisors add up to 45942; without 25425 itself that is 20517, so 25425 is deficient (20517 is less than 25425). Euler's totient φ(25425) = 13440 numbers up to 25425 share no factor with it.

  4. 4

    The digits of 25425 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25425 = 3^{2} \times 5^{2} \times 113 \]

25425 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors45942
Euler totient φ(n)13440
Square646430625
Cube16435498640625
Square root159.452187 (= 15√113)
Digit sum / digital root18 / 9
Collatz steps to 1108
Scientific notation2.5425 × 10410^{4}

25425 in other forms

FormValue
In wordstwenty-five thousand four hundred and twenty-five
Binary (base 2)110001101010001
Octal (base 8)61521
Hexadecimal (base 16)6351
Base 31021212200
As time25425 seconds = 7 h 3 min 45 s

Is 25425 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 (25425 ÷ 3 = 8475)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 (25425 ÷ 5 = 5085)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.
9Yes (25425 ÷ 9 = 2825)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 4)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 25425 a prime number?

No. 25425 = 323^{2} × 525^{2} × 113, so it is divisible by 3.

What are the factors of 25425?

1, 3, 5, 9, 15, 25, 45, 75, 113, 225, 339, 565, 1017, 1695, 2825, 5085, 8475, 25425.

What is 25425 in binary?

110001101010001 (hexadecimal 6351, octal 61521).

What is the square root of 25425?

About 159.4522, exactly 15√113.

Is 25425 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 25425?

25425 is a triangular number: 1 + 2 + … + 225 = 25425.

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    25425: is it prime? Factors, square root, binary, Roman numeral | WordGPT