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The number 9526

9526 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 433. Divisors (8): 1, 2, 11, 22, 433, 866, 4763, 9526.

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How to work it out

  1. 1

    What is special about 9526: a Harshad number: divisible by its digit sum 22.

  2. 2

    9526 is composite. Its prime factorisation is

    9526=2×11×4339526 = 2 \times 11 \times 433
  3. 3

    The divisors add up to 15624; without 9526 itself that is 6098, so 9526 is deficient (6098 is less than 9526). Euler's totient φ(9526) = 4320 numbers up to 9526 share no factor with it.

  4. 4

    The digits of 9526 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9526 = 2 \times 11 \times 433 \]

9526 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors15624
Euler totient φ(n)4320
Square90744676
Cube864433783576
Square root97.601230
Digit sum / digital root22 / 4
Collatz steps to 1197
Scientific notation9.526 × 10310^{3}

9526 in other forms

FormValue
In wordsnine thousand five hundred and twenty-six
Binary (base 2)10010100110110
Octal (base 8)22466
Hexadecimal (base 16)2536
Base 3111001211
As time9526 seconds = 2 h 38 min 46 s

Is 9526 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9526 ÷ 2 = 4763)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 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 4)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 6)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 6)A number is divisible by 10 if the last digit is 0.
11Yes (9526 ÷ 11 = 866)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9526 a prime number?

No. 9526 = 2 × 11 × 433, so it is divisible by 2.

What are the factors of 9526?

1, 2, 11, 22, 433, 866, 4763, 9526.

What is 9526 in binary?

10010100110110 (hexadecimal 2536, octal 22466).

What is the square root of 9526?

About 97.6012.

Is 9526 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 9526?

9526 is a Harshad number: divisible by its digit sum 22.

All about 9526

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