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The number 80678

80678 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 29 × 107. Divisors (16): 1, 2, 13, 26, 29, 58, 107, 214, 377, 754, 1391, 2782, 3103, 6206, 40339, 80678.

Number

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How to work it out

  1. 1

    What is special about 80678: a Harshad number: divisible by its digit sum 29.

  2. 2

    80678 is composite. Its prime factorisation is

    80678=2×13×29×10780678 = 2 \times 13 \times 29 \times 107
  3. 3

    The divisors add up to 136080; without 80678 itself that is 55402, so 80678 is deficient (55402 is less than 80678). Euler's totient φ(80678) = 35616 numbers up to 80678 share no factor with it.

  4. 4

    The digits of 80678 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80678 = 2 \times 13 \times 29 \times 107 \]

80678 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors136080
Euler totient φ(n)35616
Square6508939684
Cube525128235825752
Square root284.038730
Digit sum / digital root29 / 2
Collatz steps to 189
Scientific notation8.0678 × 10410^{4}

80678 in other forms

FormValue
In wordseighty thousand six hundred and seventy-eight
Binary (base 2)10011101100100110
Octal (base 8)235446
Hexadecimal (base 16)13B26
Base 311002200002
As time80678 seconds = 22 h 24 min 38 s

Is 80678 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80678 ÷ 2 = 40339)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 3)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 3)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 80678 a prime number?

No. 80678 = 2 × 13 × 29 × 107, so it is divisible by 2.

What are the factors of 80678?

1, 2, 13, 26, 29, 58, 107, 214, 377, 754, 1391, 2782, 3103, 6206, 40339, 80678.

What is 80678 in binary?

10011101100100110 (hexadecimal 13B26, octal 235446).

What is the square root of 80678?

About 284.0387.

Is 80678 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 80678?

80678 is a Harshad number: divisible by its digit sum 29.

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    80678: is it prime? Factors, square root, binary, Roman numeral | WordGPT