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The number 60964

60964 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 15241. Divisors (6): 1, 2, 4, 15241, 30482, 60964.

Number

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How to work it out

  1. 1

    60964 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

    60964 is composite. Its prime factorisation is

    60964=22×1524160964 = 2^{2} \times 15241
  3. 3

    The divisors add up to 106694; without 60964 itself that is 45730, so 60964 is deficient (45730 is less than 60964). Euler's totient φ(60964) = 30480 numbers up to 60964 share no factor with it.

  4. 4

    The digits of 60964 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 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60964 = 2^{2} \times 15241 \]

60964 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors106694
Euler totient φ(n)30480
Square3716609296
Cube226579369121344
Square root246.908890 (= 2√15241)
Digit sum / digital root25 / 7
Collatz steps to 1179
Scientific notation6.0964 × 10410^{4}

60964 in other forms

FormValue
In wordssixty thousand nine hundred and sixty-four
Binary (base 2)1110111000100100
Octal (base 8)167044
Hexadecimal (base 16)EE24
Base 310002121221
As time60964 seconds = 16 h 56 min 4 s

Is 60964 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60964 ÷ 2 = 30482)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 (60964 ÷ 4 = 15241)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 4)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.
8No (remainder 4)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.
10No (remainder 4)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60964 a prime number?

No. 60964 = 222^{2} × 15241, so it is divisible by 2.

What are the factors of 60964?

1, 2, 4, 15241, 30482, 60964.

What is 60964 in binary?

1110111000100100 (hexadecimal EE24, octal 167044).

What is the square root of 60964?

About 246.9089, exactly 2√15241.

Is 60964 divisible by 3?

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

What is special about the number 60964?

It is a composite number with 6 divisors.

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    60964: is it prime? Factors, square root, binary, Roman numeral | WordGPT