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The number 87079

87079 is a composite number with 6 divisors. Its prime factorisation is 31 Ɨ 53253^{2}. Divisors (6): 1, 31, 53, 1643, 2809, 87079.

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How to work it out

  1. 1

    What is special about 87079: a Harshad number: divisible by its digit sum 31.

  2. 2

    87079 is composite. Its prime factorisation is

    87079=31Ɨ53287079 = 31 \times 53^{2}
  3. 3

    The divisors add up to 91616; without 87079 itself that is 4537, so 87079 is deficient (4537 is less than 87079). Euler's totient φ(87079) = 82680 numbers up to 87079 share no factor with it.

  4. 4

    The digits of 87079 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87079 = 31 \times 53^{2} \]

87079 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors91616
Euler totient φ(n)82680
Square7582752241
Cube660298482394039
Square root295.091511 (= 53√31)
Digit sum / digital root31 / 4
Collatz steps to 171
Scientific notation8.7079 Ɨ 10410^{4}

87079 in other forms

FormValue
In wordseighty-seven thousand and seventy-nine
Binary (base 2)10101010000100111
Octal (base 8)252047
Hexadecimal (base 16)15427
Base 311102110011
As time87079 seconds = 24 h 11 min 19 s

Is 87079 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.
5No (remainder 4)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 87079 a prime number?

No. 87079 = 31 Ɨ 53253^{2}, so it is divisible by 31.

What are the factors of 87079?

1, 31, 53, 1643, 2809, 87079.

What is 87079 in binary?

10101010000100111 (hexadecimal 15427, octal 252047).

What is the square root of 87079?

About 295.0915, exactly 53√31.

Is 87079 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 87079?

87079 is a Harshad number: divisible by its digit sum 31.

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    87079: is it prime? Factors, square root, binary, Roman numeral | WordGPT