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The number 76081

76081 is a twin prime (76079 and 76081 are both prime) and the 7490th prime number. Its only divisors are 1 and 76081.

Number

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How to work it out

  1. 1

    What is special about 76081: a twin prime (76079 and 76081 are both prime); the 7490th prime number.

  2. 2

    76081 is prime, so its only factors are 1 and 76081. It is the 7490th prime; the next prime is 76091 and the one before is 76079.

  3. 3

    The divisors add up to 76082; without 76081 itself that is 1, so 76081 is deficient (1 is less than 76081). Euler's totient φ(76081) = 76080 numbers up to 76081 share no factor with it.

  4. 4

    The digits of 76081 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

76081 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors76082
Euler totient φ(n)76080
Square5788318561
Cube440381064439441
Square root275.827845
Digit sum / digital root22 / 4
Collatz steps to 155
Scientific notation7.6081 × 10410^{4}

76081 in other forms

FormValue
In wordsseventy-six thousand and eighty-one
Binary (base 2)10010100100110001
Octal (base 8)224461
Hexadecimal (base 16)12931
Base 310212100211
As time76081 seconds = 21 h 8 min 1 s

Is 76081 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 1)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.
7No (remainder 5)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 4)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 5)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 76081 a prime number?

Yes. 76081 is divisible only by 1 and itself.

What are the factors of 76081?

1, 76081.

What is 76081 in binary?

10010100100110001 (hexadecimal 12931, octal 224461).

What is the square root of 76081?

About 275.8278.

Is 76081 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 76081?

76081 is a twin prime (76079 and 76081 are both prime); the 7490th prime number.

All about 76081

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