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The number 7675

7675 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 307. Divisors (6): 1, 5, 25, 307, 1535, 7675.

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How to work it out

  1. 1

    What is special about 7675: a Harshad number: divisible by its digit sum 25.

  2. 2

    7675 is composite. Its prime factorisation is

    7675=52Ɨ3077675 = 5^{2} \times 307
  3. 3

    The divisors add up to 9548; without 7675 itself that is 1873, so 7675 is deficient (1873 is less than 7675). Euler's totient φ(7675) = 6120 numbers up to 7675 share no factor with it.

  4. 4

    The digits of 7675 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 176 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7675 = 5^{2} \times 307 \]

7675 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors9548
Euler totient φ(n)6120
Square58905625
Cube452100671875
Square root87.607077 (= 5√307)
Digit sum / digital root25 / 7
Collatz steps to 1176
Scientific notation7.675 Ɨ 10310^{3}

7675 in other forms

FormValue
In wordsseven thousand six hundred and seventy-five
Binary (base 2)1110111111011
Octal (base 8)16773
Hexadecimal (base 16)1DFB
Base 3101112021
As time7675 seconds = 2 h 7 min 55 s

Is 7675 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (7675 Ć· 5 = 1535)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 3)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 3)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7675 a prime number?

No. 7675 = 525^{2} Ɨ 307, so it is divisible by 5.

What are the factors of 7675?

1, 5, 25, 307, 1535, 7675.

What is 7675 in binary?

1110111111011 (hexadecimal 1DFB, octal 16773).

What is the square root of 7675?

About 87.6071, exactly 5√307.

Is 7675 divisible by 3?

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

What is special about the number 7675?

7675 is a Harshad number: divisible by its digit sum 25.

All about 7675

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