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The number 60136

60136 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 7517. Divisors (8): 1, 2, 4, 8, 7517, 15034, 30068, 60136.

Number

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How to work it out

  1. 1

    What is special about 60136: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60136 is composite. Its prime factorisation is

    60136=23×751760136 = 2^{3} \times 7517
  3. 3

    The divisors add up to 112770; without 60136 itself that is 52634, so 60136 is deficient (52634 is less than 60136). Euler's totient φ(60136) = 30064 numbers up to 60136 share no factor with it.

  4. 4

    The digits of 60136 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60136 = 2^{3} \times 7517 \]

60136 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors112770
Euler totient φ(n)30064
Square3616338496
Cube217472131795456
Square root245.226426 (= 2√15034)
Digit sum / digital root16 / 7
Collatz steps to 191
Scientific notation6.0136 × 10410^{4}

60136 in other forms

FormValue
In wordssixty thousand one hundred and thirty-six
Binary (base 2)1110101011101000
Octal (base 8)165350
Hexadecimal (base 16)EAE8
Base 310001111021
As time60136 seconds = 16 h 42 min 16 s

Is 60136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60136 ÷ 2 = 30068)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 (60136 ÷ 4 = 15034)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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.
8Yes (60136 ÷ 8 = 7517)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 6)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 60136 a prime number?

No. 60136 = 232^{3} × 7517, so it is divisible by 2.

What are the factors of 60136?

1, 2, 4, 8, 7517, 15034, 30068, 60136.

What is 60136 in binary?

1110101011101000 (hexadecimal EAE8, octal 165350).

What is the square root of 60136?

About 245.2264, exactly 2√15034.

Is 60136 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 60136?

60136 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60136: is it prime? Factors, square root, binary, Roman numeral | WordGPT