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The number 76491

76491 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2833. Divisors (8): 1, 3, 9, 27, 2833, 8499, 25497, 76491.

Number

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How to work it out

  1. 1

    What is special about 76491: a Harshad number: divisible by its digit sum 27.

  2. 2

    76491 is composite. Its prime factorisation is

    76491=33×283376491 = 3^{3} \times 2833
  3. 3

    The divisors add up to 113360; without 76491 itself that is 36869, so 76491 is deficient (36869 is less than 76491). Euler's totient φ(76491) = 50976 numbers up to 76491 share no factor with it.

  4. 4

    The digits of 76491 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76491 = 3^{3} \times 2833 \]

76491 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors113360
Euler totient φ(n)50976
Square5850873081
Cube447539132838771
Square root276.570063 (= 3√8499)
Digit sum / digital root27 / 9
Collatz steps to 181
Scientific notation7.6491 × 10410^{4}

76491 in other forms

FormValue
In wordsseventy-six thousand four hundred and ninety-one
Binary (base 2)10010101011001011
Octal (base 8)225313
Hexadecimal (base 16)12ACB
Base 310212221000
As time76491 seconds = 21 h 14 min 51 s

Is 76491 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).
3Yes (76491 ÷ 3 = 25497)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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.
9Yes (76491 ÷ 9 = 8499)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76491 a prime number?

No. 76491 = 333^{3} × 2833, so it is divisible by 3.

What are the factors of 76491?

1, 3, 9, 27, 2833, 8499, 25497, 76491.

What is 76491 in binary?

10010101011001011 (hexadecimal 12ACB, octal 225313).

What is the square root of 76491?

About 276.5701, exactly 3√8499.

Is 76491 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 76491?

76491 is a Harshad number: divisible by its digit sum 27.

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