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The number 76013

76013 is a composite number with 4 divisors. Its prime factorisation is 7 × 10859. Divisors (4): 1, 7, 10859, 76013.

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How to work it out

  1. 1

    What is special about 76013: a semiprime: 7 × 10859, the product of two primes.

  2. 2

    76013 is composite. Its prime factorisation is

    76013=7×1085976013 = 7 \times 10859
  3. 3

    The divisors add up to 86880; without 76013 itself that is 10867, so 76013 is deficient (10867 is less than 76013). Euler's totient φ(76013) = 65148 numbers up to 76013 share no factor with it.

  4. 4

    The digits of 76013 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76013 = 7 \times 10859 \]

76013 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors86880
Euler totient φ(n)65148
Square5777976169
Cube439201302534197
Square root275.704552
Digit sum / digital root17 / 8
Collatz steps to 1156
Scientific notation7.6013 × 10410^{4}

76013 in other forms

FormValue
In wordsseventy-six thousand and thirteen
Binary (base 2)10010100011101101
Octal (base 8)224355
Hexadecimal (base 16)128ED
Base 310212021022
As time76013 seconds = 21 h 6 min 53 s

Is 76013 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 3)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 (76013 ÷ 7 = 10859)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 76013 a prime number?

No. 76013 = 7 × 10859, so it is divisible by 7.

What are the factors of 76013?

1, 7, 10859, 76013.

What is 76013 in binary?

10010100011101101 (hexadecimal 128ED, octal 224355).

What is the square root of 76013?

About 275.7046.

Is 76013 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 76013?

76013 is a semiprime: 7 × 10859, the product of two primes.

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