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The number 76616

76616 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 61 × 157. Divisors (16): 1, 2, 4, 8, 61, 122, 157, 244, 314, 488, 628, 1256, 9577, 19154, 38308, 76616.

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How to work it out

  1. 1

    76616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    76616 is composite. Its prime factorisation is

    76616=23×61×15776616 = 2^{3} \times 61 \times 157
  3. 3

    The divisors add up to 146940; without 76616 itself that is 70324, so 76616 is deficient (70324 is less than 76616). Euler's totient φ(76616) = 37440 numbers up to 76616 share no factor with it.

  4. 4

    The digits of 76616 add up to 26, 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
\[ 76616 = 2^{3} \times 61 \times 157 \]

76616 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors146940
Euler totient φ(n)37440
Square5870011456
Cube449736797712896
Square root276.795954 (= 2√19154)
Digit sum / digital root26 / 8
Collatz steps to 1156
Scientific notation7.6616 × 10410^{4}

76616 in other forms

FormValue
In wordsseventy-six thousand six hundred and sixteen
Binary (base 2)10010101101001000
Octal (base 8)225510
Hexadecimal (base 16)12B48
Base 310220002122
As time76616 seconds = 21 h 16 min 56 s

Is 76616 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76616 ÷ 2 = 38308)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.
4Yes (76616 ÷ 4 = 19154)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 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.
8Yes (76616 ÷ 8 = 9577)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76616 a prime number?

No. 76616 = 232^{3} × 61 × 157, so it is divisible by 2.

What are the factors of 76616?

1, 2, 4, 8, 61, 122, 157, 244, 314, 488, 628, 1256, 9577, 19154, 38308, 76616.

What is 76616 in binary?

10010101101001000 (hexadecimal 12B48, octal 225510).

What is the square root of 76616?

About 276.7960, exactly 2√19154.

Is 76616 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 76616?

It is a composite number with 16 divisors.

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