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The number 76994

76994 is a composite number with 8 divisors. Its prime factorisation is 2 × 137 × 281. Divisors (8): 1, 2, 137, 274, 281, 562, 38497, 76994.

Number

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How to work it out

  1. 1

    What is special about 76994: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    76994 is composite. Its prime factorisation is

    76994=2×137×28176994 = 2 \times 137 \times 281
  3. 3

    The divisors add up to 116748; without 76994 itself that is 39754, so 76994 is deficient (39754 is less than 76994). Euler's totient φ(76994) = 38080 numbers up to 76994 share no factor with it.

  4. 4

    The digits of 76994 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76994 = 2 \times 137 \times 281 \]

76994 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors116748
Euler totient φ(n)38080
Square5928076036
Cube456426286315784
Square root277.477927
Digit sum / digital root35 / 8
Collatz steps to 150
Scientific notation7.6994 × 10410^{4}

76994 in other forms

FormValue
In wordsseventy-six thousand nine hundred and ninety-four
Binary (base 2)10010110011000010
Octal (base 8)226302
Hexadecimal (base 16)12CC2
Base 310220121122
As time76994 seconds = 21 h 23 min 14 s

Is 76994 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76994 ÷ 2 = 38497)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 4)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 1)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 76994 a prime number?

No. 76994 = 2 × 137 × 281, so it is divisible by 2.

What are the factors of 76994?

1, 2, 137, 274, 281, 562, 38497, 76994.

What is 76994 in binary?

10010110011000010 (hexadecimal 12CC2, octal 226302).

What is the square root of 76994?

About 277.4779.

Is 76994 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 76994?

76994 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    76994: is it prime? Factors, square root, binary, Roman numeral | WordGPT