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The number 62974

62974 is a composite number with 12 divisors. Its prime factorisation is 2 × 23 × 37237^{2}. Divisors (12): 1, 2, 23, 37, 46, 74, 851, 1369, 1702, 2738, 31487, 62974.

Number

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How to work it out

  1. 1

    62974 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

    62974 is composite. Its prime factorisation is

    62974=2×23×37262974 = 2 \times 23 \times 37^{2}
  3. 3

    The divisors add up to 101304; without 62974 itself that is 38330, so 62974 is deficient (38330 is less than 62974). Euler's totient φ(62974) = 29304 numbers up to 62974 share no factor with it.

  4. 4

    The digits of 62974 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62974 = 2 \times 23 \times 37^{2} \]

62974 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors101304
Euler totient φ(n)29304
Square3965724676
Cube249737545746424
Square root250.946209 (= 37√46)
Digit sum / digital root28 / 1
Collatz steps to 186
Scientific notation6.2974 × 10410^{4}

62974 in other forms

FormValue
In wordssixty-two thousand nine hundred and seventy-four
Binary (base 2)1111010111111110
Octal (base 8)172776
Hexadecimal (base 16)F5FE
Base 310012101101
As time62974 seconds = 17 h 29 min 34 s

Is 62974 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62974 ÷ 2 = 31487)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.
4No (remainder 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62974 a prime number?

No. 62974 = 2 × 23 × 37237^{2}, so it is divisible by 2.

What are the factors of 62974?

1, 2, 23, 37, 46, 74, 851, 1369, 1702, 2738, 31487, 62974.

What is 62974 in binary?

1111010111111110 (hexadecimal F5FE, octal 172776).

What is the square root of 62974?

About 250.9462, exactly 37√46.

Is 62974 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 62974?

It is a composite number with 12 divisors.

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