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The number 69772

69772 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 17443. Divisors (6): 1, 2, 4, 17443, 34886, 69772.

Number

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How to work it out

  1. 1

    What is special about 69772: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    69772 is composite. Its prime factorisation is

    69772=22×1744369772 = 2^{2} \times 17443
  3. 3

    The divisors add up to 122108; without 69772 itself that is 52336, so 69772 is deficient (52336 is less than 69772). Euler's totient φ(69772) = 34884 numbers up to 69772 share no factor with it.

  4. 4

    The digits of 69772 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69772 = 2^{2} \times 17443 \]

69772 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors122108
Euler totient φ(n)34884
Square4868131984
Cube339659304787648
Square root264.143900 (= 2√17443)
Digit sum / digital root31 / 4
Collatz steps to 150
Scientific notation6.9772 × 10410^{4}

69772 in other forms

FormValue
In wordssixty-nine thousand seven hundred and seventy-two
Binary (base 2)10001000010001100
Octal (base 8)210214
Hexadecimal (base 16)1108C
Base 310112201011
As time69772 seconds = 19 h 22 min 52 s

Is 69772 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69772 ÷ 2 = 34886)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.
4Yes (69772 ÷ 4 = 17443)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69772 a prime number?

No. 69772 = 222^{2} × 17443, so it is divisible by 2.

What are the factors of 69772?

1, 2, 4, 17443, 34886, 69772.

What is 69772 in binary?

10001000010001100 (hexadecimal 1108C, octal 210214).

What is the square root of 69772?

About 264.1439, exactly 2√17443.

Is 69772 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 69772?

69772 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    69772: is it prime? Factors, square root, binary, Roman numeral | WordGPT