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The number 61675

61675 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2467. Divisors (6): 1, 5, 25, 2467, 12335, 61675.

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How to work it out

  1. 1

    What is special about 61675: a Harshad number: divisible by its digit sum 25.

  2. 2

    61675 is composite. Its prime factorisation is

    61675=52Ɨ246761675 = 5^{2} \times 2467
  3. 3

    The divisors add up to 76508; without 61675 itself that is 14833, so 61675 is deficient (14833 is less than 61675). Euler's totient φ(61675) = 49320 numbers up to 61675 share no factor with it.

  4. 4

    The digits of 61675 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 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61675 = 5^{2} \times 2467 \]

61675 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors76508
Euler totient φ(n)49320
Square3803805625
Cube234599711921875
Square root248.344519 (= 5√2467)
Digit sum / digital root25 / 7
Collatz steps to 1166
Scientific notation6.1675 Ɨ 10410^{4}

61675 in other forms

FormValue
In wordssixty-one thousand six hundred and seventy-five
Binary (base 2)1111000011101011
Octal (base 8)170353
Hexadecimal (base 16)F0EB
Base 310010121021
As time61675 seconds = 17 h 7 min 55 s

Is 61675 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 (61675 Ć· 5 = 12335)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 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 9)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 61675 a prime number?

No. 61675 = 525^{2} Ɨ 2467, so it is divisible by 5.

What are the factors of 61675?

1, 5, 25, 2467, 12335, 61675.

What is 61675 in binary?

1111000011101011 (hexadecimal F0EB, octal 170353).

What is the square root of 61675?

About 248.3445, exactly 5√2467.

Is 61675 divisible by 3?

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

What is special about the number 61675?

61675 is a Harshad number: divisible by its digit sum 25.

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