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The number 60464

60464 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 3779. Divisors (10): 1, 2, 4, 8, 16, 3779, 7558, 15116, 30232, 60464.

Number

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How to work it out

  1. 1

    60464 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

    60464 is composite. Its prime factorisation is

    60464=24×377960464 = 2^{4} \times 3779
  3. 3

    The divisors add up to 117180; without 60464 itself that is 56716, so 60464 is deficient (56716 is less than 60464). Euler's totient φ(60464) = 30224 numbers up to 60464 share no factor with it.

  4. 4

    The digits of 60464 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60464 = 2^{4} \times 3779 \]

60464 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors117180
Euler totient φ(n)30224
Square3655895296
Cube221050053177344
Square root245.894286 (= 4√3779)
Digit sum / digital root20 / 2
Collatz steps to 186
Scientific notation6.0464 × 10410^{4}

60464 in other forms

FormValue
In wordssixty thousand four hundred and sixty-four
Binary (base 2)1110110000110000
Octal (base 8)166060
Hexadecimal (base 16)EC30
Base 310001221102
As time60464 seconds = 16 h 47 min 44 s

Is 60464 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60464 ÷ 2 = 30232)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.
4Yes (60464 ÷ 4 = 15116)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 2)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.
8Yes (60464 ÷ 8 = 7558)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60464 a prime number?

No. 60464 = 242^{4} × 3779, so it is divisible by 2.

What are the factors of 60464?

1, 2, 4, 8, 16, 3779, 7558, 15116, 30232, 60464.

What is 60464 in binary?

1110110000110000 (hexadecimal EC30, octal 166060).

What is the square root of 60464?

About 245.8943, exactly 4√3779.

Is 60464 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 60464?

It is a composite number with 10 divisors.

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    60464: is it prime? Factors, square root, binary, Roman numeral | WordGPT