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The number 78449

78449 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1601. Divisors (6): 1, 7, 49, 1601, 11207, 78449.

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How to work it out

  1. 1

    What is special about 78449: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    78449 is composite. Its prime factorisation is

    78449=72Ɨ160178449 = 7^{2} \times 1601
  3. 3

    The divisors add up to 91314; without 78449 itself that is 12865, so 78449 is deficient (12865 is less than 78449). Euler's totient φ(78449) = 67200 numbers up to 78449 share no factor with it.

  4. 4

    The digits of 78449 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 78449 = 7^{2} \times 1601 \]

78449 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors91314
Euler totient φ(n)67200
Square6154245601
Cube482794413152849
Square root280.087486 (= 7√1601)
Digit sum / digital root32 / 5
Collatz steps to 1138
Scientific notation7.8449 Ɨ 10410^{4}

78449 in other forms

FormValue
In wordsseventy-eight thousand four hundred and forty-nine
Binary (base 2)10011001001110001
Octal (base 8)231161
Hexadecimal (base 16)13271
Base 310222121112
As time78449 seconds = 21 h 47 min 29 s

Is 78449 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (78449 Ć· 7 = 11207)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 5)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 78449 a prime number?

No. 78449 = 727^{2} Ɨ 1601, so it is divisible by 7.

What are the factors of 78449?

1, 7, 49, 1601, 11207, 78449.

What is 78449 in binary?

10011001001110001 (hexadecimal 13271, octal 231161).

What is the square root of 78449?

About 280.0875, exactly 7√1601.

Is 78449 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 78449?

78449 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    78449: is it prime? Factors, square root, binary, Roman numeral | WordGPT