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The number 76409

76409 is a composite number with 4 divisors. Its prime factorisation is 109 × 701. Divisors (4): 1, 109, 701, 76409.

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How to work it out

  1. 1

    What is special about 76409: a semiprime: 109 × 701, the product of two primes.

  2. 2

    76409 is composite. Its prime factorisation is

    76409=109×70176409 = 109 \times 701
  3. 3

    The divisors add up to 77220; without 76409 itself that is 811, so 76409 is deficient (811 is less than 76409). Euler's totient φ(76409) = 75600 numbers up to 76409 share no factor with it.

  4. 4

    The digits of 76409 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76409 = 109 \times 701 \]

76409 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors77220
Euler totient φ(n)75600
Square5838335281
Cube446101360485929
Square root276.421779
Digit sum / digital root26 / 8
Collatz steps to 1138
Scientific notation7.6409 × 10410^{4}

76409 in other forms

FormValue
In wordsseventy-six thousand four hundred and nine
Binary (base 2)10010101001111001
Octal (base 8)225171
Hexadecimal (base 16)12A79
Base 310212210222
As time76409 seconds = 21 h 13 min 29 s

Is 76409 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 4)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.
7No (remainder 4)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 76409 a prime number?

No. 76409 = 109 × 701, so it is divisible by 109.

What are the factors of 76409?

1, 109, 701, 76409.

What is 76409 in binary?

10010101001111001 (hexadecimal 12A79, octal 225171).

What is the square root of 76409?

About 276.4218.

Is 76409 divisible by 3?

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

What is special about the number 76409?

76409 is a semiprime: 109 × 701, the product of two primes.

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    76409: is it prime? Factors, square root, binary, Roman numeral | WordGPT