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The number 77650

77650 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 1553. Divisors (12): 1, 2, 5, 10, 25, 50, 1553, 3106, 7765, 15530, 38825, 77650.

Number

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How to work it out

  1. 1

    What is special about 77650: a Harshad number: divisible by its digit sum 25.

  2. 2

    77650 is composite. Its prime factorisation is

    77650=2×52×155377650 = 2 \times 5^{2} \times 1553
  3. 3

    The divisors add up to 144522; without 77650 itself that is 66872, so 77650 is deficient (66872 is less than 77650). Euler's totient φ(77650) = 31040 numbers up to 77650 share no factor with it.

  4. 4

    The digits of 77650 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 231 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77650 = 2 \times 5^{2} \times 1553 \]

77650 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors144522
Euler totient φ(n)31040
Square6029522500
Cube468192422125000
Square root278.657496 (= 5√3106)
Digit sum / digital root25 / 7
Collatz steps to 1231
Scientific notation7.765 × 10410^{4}

77650 in other forms

FormValue
In wordsseventy-seven thousand six hundred and fifty
Binary (base 2)10010111101010010
Octal (base 8)227522
Hexadecimal (base 16)12F52
Base 310221111221
As time77650 seconds = 21 h 34 min 10 s

Is 77650 divisible by 2 to 12?

DivisorAnswerRule
2Yes (77650 ÷ 2 = 38825)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (77650 ÷ 5 = 15530)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (77650 ÷ 10 = 7765)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 77650 a prime number?

No. 77650 = 2 × 525^{2} × 1553, so it is divisible by 2.

What are the factors of 77650?

1, 2, 5, 10, 25, 50, 1553, 3106, 7765, 15530, 38825, 77650.

What is 77650 in binary?

10010111101010010 (hexadecimal 12F52, octal 227522).

What is the square root of 77650?

About 278.6575, exactly 5√3106.

Is 77650 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 77650?

77650 is a Harshad number: divisible by its digit sum 25.

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