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The number 60249

60249 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 151. Divisors (16): 1, 3, 7, 19, 21, 57, 133, 151, 399, 453, 1057, 2869, 3171, 8607, 20083, 60249.

Number

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How to work it out

  1. 1

    What is special about 60249: a Harshad number: divisible by its digit sum 21.

  2. 2

    60249 is composite. Its prime factorisation is

    60249=3×7×19×15160249 = 3 \times 7 \times 19 \times 151
  3. 3

    The divisors add up to 97280; without 60249 itself that is 37031, so 60249 is deficient (37031 is less than 60249). Euler's totient φ(60249) = 32400 numbers up to 60249 share no factor with it.

  4. 4

    The digits of 60249 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60249 = 3 \times 7 \times 19 \times 151 \]

60249 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors97280
Euler totient φ(n)32400
Square3629942001
Cube218700375618249
Square root245.456717
Digit sum / digital root21 / 3
Collatz steps to 165
Scientific notation6.0249 × 10410^{4}

60249 in other forms

FormValue
In wordssixty thousand two hundred and forty-nine
Binary (base 2)1110101101011001
Octal (base 8)165531
Hexadecimal (base 16)EB59
Base 310001122110
As time60249 seconds = 16 h 44 min 9 s

Is 60249 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60249 ÷ 3 = 20083)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (60249 ÷ 7 = 8607)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60249 a prime number?

No. 60249 = 3 × 7 × 19 × 151, so it is divisible by 3.

What are the factors of 60249?

1, 3, 7, 19, 21, 57, 133, 151, 399, 453, 1057, 2869, 3171, 8607, 20083, 60249.

What is 60249 in binary?

1110101101011001 (hexadecimal EB59, octal 165531).

What is the square root of 60249?

About 245.4567.

Is 60249 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 60249?

60249 is a Harshad number: divisible by its digit sum 21.

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    60249: is it prime? Factors, square root, binary, Roman numeral | WordGPT