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The number 37402

37402 is a composite number with 4 divisors. Its prime factorisation is 2 × 18701. Divisors (4): 1, 2, 18701, 37402.

Number

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How to work it out

  1. 1

    What is special about 37402: a semiprime: 2 × 18701, the product of two primes.

  2. 2

    37402 is composite. Its prime factorisation is

    37402=2×1870137402 = 2 \times 18701
  3. 3

    The divisors add up to 56106; without 37402 itself that is 18704, so 37402 is deficient (18704 is less than 37402). Euler's totient φ(37402) = 18700 numbers up to 37402 share no factor with it.

  4. 4

    The digits of 37402 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 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 37402 = 2 \times 18701 \]

37402 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56106
Euler totient φ(n)18700
Square1398909604
Cube52322017008808
Square root193.395967
Digit sum / digital root16 / 7
Collatz steps to 162
Scientific notation3.7402 × 10410^{4}

37402 in other forms

FormValue
In wordsthirty-seven thousand four hundred and two
Binary (base 2)1001001000011010
Octal (base 8)111032
Hexadecimal (base 16)921A
Base 31220022021
As time37402 seconds = 10 h 23 min 22 s

Is 37402 divisible by 2 to 12?

DivisorAnswerRule
2Yes (37402 ÷ 2 = 18701)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 2)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.
8No (remainder 2)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 2)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 37402 a prime number?

No. 37402 = 2 × 18701, so it is divisible by 2.

What are the factors of 37402?

1, 2, 18701, 37402.

What is 37402 in binary?

1001001000011010 (hexadecimal 921A, octal 111032).

What is the square root of 37402?

About 193.3960.

Is 37402 divisible by 3?

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

What is special about the number 37402?

37402 is a semiprime: 2 × 18701, the product of two primes.

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    37402: is it prime? Factors, square root, binary, Roman numeral | WordGPT