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The number 9077

9077 is a composite number with 4 divisors. Its prime factorisation is 29 × 313. Divisors (4): 1, 29, 313, 9077.

Number

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How to work it out

  1. 1

    What is special about 9077: a semiprime: 29 × 313, the product of two primes.

  2. 2

    9077 is composite. Its prime factorisation is

    9077=29×3139077 = 29 \times 313
  3. 3

    The divisors add up to 9420; without 9077 itself that is 343, so 9077 is deficient (343 is less than 9077). Euler's totient φ(9077) = 8736 numbers up to 9077 share no factor with it.

  4. 4

    The digits of 9077 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9077 = 29 \times 313 \]

9077 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9420
Euler totient φ(n)8736
Square82391929
Cube747871539533
Square root95.273291
Digit sum / digital root23 / 5
Collatz steps to 165
Scientific notation9.077 × 10310^{3}

9077 in other forms

FormValue
In wordsnine thousand and seventy-seven
Binary (base 2)10001101110101
Octal (base 8)21565
Hexadecimal (base 16)2375
Base 3110110012
As time9077 seconds = 2 h 31 min 17 s

Is 9077 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 2)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 9077 a prime number?

No. 9077 = 29 × 313, so it is divisible by 29.

What are the factors of 9077?

1, 29, 313, 9077.

What is 9077 in binary?

10001101110101 (hexadecimal 2375, octal 21565).

What is the square root of 9077?

About 95.2733.

Is 9077 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 9077?

9077 is a semiprime: 29 × 313, the product of two primes.

All about 9077

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    9077: is it prime? Factors, square root, binary, Roman numeral | WordGPT