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The number 37025

37025 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1481. Divisors (6): 1, 5, 25, 1481, 7405, 37025.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    37025 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

    37025 is composite. Its prime factorisation is

    37025=52Ɨ148137025 = 5^{2} \times 1481
  3. 3

    The divisors add up to 45942; without 37025 itself that is 8917, so 37025 is deficient (8917 is less than 37025). Euler's totient φ(37025) = 29600 numbers up to 37025 share no factor with it.

  4. 4

    The digits of 37025 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.

LaTeX source of the formulas on this page
\[ 37025 = 5^{2} \times 1481 \]

37025 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors45942
Euler totient φ(n)29600
Square1370850625
Cube50755744390625
Square root192.418814 (= 5√1481)
Digit sum / digital root17 / 8
Collatz steps to 1155
Scientific notation3.7025 Ɨ 10410^{4}

37025 in other forms

FormValue
In wordsthirty-seven thousand and twenty-five
Binary (base 2)1001000010100001
Octal (base 8)110241
Hexadecimal (base 16)90A1
Base 31212210022
As time37025 seconds = 10 h 17 min 5 s

Is 37025 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).
3No (remainder 2)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.
5Yes (37025 Ć· 5 = 7405)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 37025 a prime number?

No. 37025 = 525^{2} Ɨ 1481, so it is divisible by 5.

What are the factors of 37025?

1, 5, 25, 1481, 7405, 37025.

What is 37025 in binary?

1001000010100001 (hexadecimal 90A1, octal 110241).

What is the square root of 37025?

About 192.4188, exactly 5√1481.

Is 37025 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 37025?

It is a composite number with 6 divisors.

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    37025: is it prime? Factors, square root, binary, Roman numeral | WordGPT