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The number 60376

60376 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 7547. Divisors (8): 1, 2, 4, 8, 7547, 15094, 30188, 60376.

Number

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How to work it out

  1. 1

    What is special about 60376: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60376 is composite. Its prime factorisation is

    60376=23×754760376 = 2^{3} \times 7547
  3. 3

    The divisors add up to 113220; without 60376 itself that is 52844, so 60376 is deficient (52844 is less than 60376). Euler's totient φ(60376) = 30184 numbers up to 60376 share no factor with it.

  4. 4

    The digits of 60376 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60376 = 2^{3} \times 7547 \]

60376 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors113220
Euler totient φ(n)30184
Square3645261376
Cube220086300837376
Square root245.715282 (= 2√15094)
Digit sum / digital root22 / 4
Collatz steps to 1117
Scientific notation6.0376 × 10410^{4}

60376 in other forms

FormValue
In wordssixty thousand three hundred and seventy-six
Binary (base 2)1110101111011000
Octal (base 8)165730
Hexadecimal (base 16)EBD8
Base 310001211011
As time60376 seconds = 16 h 46 min 16 s

Is 60376 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60376 ÷ 2 = 30188)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 (60376 ÷ 4 = 15094)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 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.
8Yes (60376 ÷ 8 = 7547)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 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60376 a prime number?

No. 60376 = 232^{3} × 7547, so it is divisible by 2.

What are the factors of 60376?

1, 2, 4, 8, 7547, 15094, 30188, 60376.

What is 60376 in binary?

1110101111011000 (hexadecimal EBD8, octal 165730).

What is the square root of 60376?

About 245.7153, exactly 2√15094.

Is 60376 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 60376?

60376 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60376: is it prime? Factors, square root, binary, Roman numeral | WordGPT