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The number 76489

76489 is a composite number with 8 divisors. Its prime factorisation is 737^{3} Ɨ 223. Divisors (8): 1, 7, 49, 223, 343, 1561, 10927, 76489.

Number

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How to work it out

  1. 1

    76489 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    76489 is composite. Its prime factorisation is

    76489=73Ɨ22376489 = 7^{3} \times 223
  3. 3

    The divisors add up to 89600; without 76489 itself that is 13111, so 76489 is deficient (13111 is less than 76489). Euler's totient φ(76489) = 65268 numbers up to 76489 share no factor with it.

  4. 4

    The digits of 76489 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76489 = 7^{3} \times 223 \]

76489 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors89600
Euler totient φ(n)65268
Square5850567121
Cube447504028518169
Square root276.566448 (= 7√1561)
Digit sum / digital root34 / 7
Collatz steps to 181
Scientific notation7.6489 Ɨ 10410^{4}

76489 in other forms

FormValue
In wordsseventy-six thousand four hundred and eighty-nine
Binary (base 2)10010101011001001
Octal (base 8)225311
Hexadecimal (base 16)12AC9
Base 310212220221
As time76489 seconds = 21 h 14 min 49 s

Is 76489 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 1)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.
7Yes (76489 Ć· 7 = 10927)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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76489 a prime number?

No. 76489 = 737^{3} Ɨ 223, so it is divisible by 7.

What are the factors of 76489?

1, 7, 49, 223, 343, 1561, 10927, 76489.

What is 76489 in binary?

10010101011001001 (hexadecimal 12AC9, octal 225311).

What is the square root of 76489?

About 276.5664, exactly 7√1561.

Is 76489 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 76489?

It is a composite number with 8 divisors.

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