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The number 93626

93626 is a composite number with 12 divisors. Its prime factorisation is 2 × 13213^{2} × 277. Divisors (12): 1, 2, 13, 26, 169, 277, 338, 554, 3601, 7202, 46813, 93626.

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How to work it out

  1. 1

    What is special about 93626: a Harshad number: divisible by its digit sum 26.

  2. 2

    93626 is composite. Its prime factorisation is

    93626=2×132×27793626 = 2 \times 13^{2} \times 277
  3. 3

    The divisors add up to 152622; without 93626 itself that is 58996, so 93626 is deficient (58996 is less than 93626). Euler's totient φ(93626) = 43056 numbers up to 93626 share no factor with it.

  4. 4

    The digits of 93626 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 93626 = 2 \times 13^{2} \times 277 \]

93626 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors152622
Euler totient φ(n)43056
Square8765827876
Cube820709400718376
Square root305.983660 (= 13√554)
Digit sum / digital root26 / 8
Collatz steps to 1146
Scientific notation9.3626 × 10410^{4}

93626 in other forms

FormValue
In wordsninety-three thousand six hundred and twenty-six
Binary (base 2)10110110110111010
Octal (base 8)266672
Hexadecimal (base 16)16DBA
Base 311202102122
As time93626 seconds = 26 h 0 min 26 s

Is 93626 divisible by 2 to 12?

DivisorAnswerRule
2Yes (93626 ÷ 2 = 46813)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 93626 a prime number?

No. 93626 = 2 × 13213^{2} × 277, so it is divisible by 2.

What are the factors of 93626?

1, 2, 13, 26, 169, 277, 338, 554, 3601, 7202, 46813, 93626.

What is 93626 in binary?

10110110110111010 (hexadecimal 16DBA, octal 266672).

What is the square root of 93626?

About 305.9837, exactly 13√554.

Is 93626 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 93626?

93626 is a Harshad number: divisible by its digit sum 26.

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