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The number 62492

62492 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 17 × 919. Divisors (12): 1, 2, 4, 17, 34, 68, 919, 1838, 3676, 15623, 31246, 62492.

Number

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How to work it out

  1. 1

    62492 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

    62492 is composite. Its prime factorisation is

    62492=22×17×91962492 = 2^{2} \times 17 \times 919
  3. 3

    The divisors add up to 115920; without 62492 itself that is 53428, so 62492 is deficient (53428 is less than 62492). Euler's totient φ(62492) = 29376 numbers up to 62492 share no factor with it.

  4. 4

    The digits of 62492 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 254 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62492 = 2^{2} \times 17 \times 919 \]

62492 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors115920
Euler totient φ(n)29376
Square3905250064
Cube244046886999488
Square root249.983999 (= 2√15623)
Digit sum / digital root23 / 5
Collatz steps to 1254
Scientific notation6.2492 × 10410^{4}

62492 in other forms

FormValue
In wordssixty-two thousand four hundred and ninety-two
Binary (base 2)1111010000011100
Octal (base 8)172034
Hexadecimal (base 16)F41C
Base 310011201112
As time62492 seconds = 17 h 21 min 32 s

Is 62492 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62492 ÷ 2 = 31246)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 (62492 ÷ 4 = 15623)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 3)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 62492 a prime number?

No. 62492 = 222^{2} × 17 × 919, so it is divisible by 2.

What are the factors of 62492?

1, 2, 4, 17, 34, 68, 919, 1838, 3676, 15623, 31246, 62492.

What is 62492 in binary?

1111010000011100 (hexadecimal F41C, octal 172034).

What is the square root of 62492?

About 249.9840, exactly 2√15623.

Is 62492 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 62492?

It is a composite number with 12 divisors.

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