WordGPT

The number 87074

87074 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 197. Divisors (16): 1, 2, 13, 17, 26, 34, 197, 221, 394, 442, 2561, 3349, 5122, 6698, 43537, 87074.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 87074: a Harshad number: divisible by its digit sum 26.

  2. 2

    87074 is composite. Its prime factorisation is

    87074=2×13×17×19787074 = 2 \times 13 \times 17 \times 197
  3. 3

    The divisors add up to 149688; without 87074 itself that is 62614, so 87074 is deficient (62614 is less than 87074). Euler's totient φ(87074) = 37632 numbers up to 87074 share no factor with it.

  4. 4

    The digits of 87074 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87074 = 2 \times 13 \times 17 \times 197 \]

87074 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors149688
Euler totient φ(n)37632
Square7581881476
Cube660184747641224
Square root295.083039
Digit sum / digital root26 / 8
Collatz steps to 158
Scientific notation8.7074 × 10410^{4}

87074 in other forms

FormValue
In wordseighty-seven thousand and seventy-four
Binary (base 2)10101010000100010
Octal (base 8)252042
Hexadecimal (base 16)15422
Base 311102102222
As time87074 seconds = 24 h 11 min 14 s

Is 87074 divisible by 2 to 12?

DivisorAnswerRule
2Yes (87074 ÷ 2 = 43537)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 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 2)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 8)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87074 a prime number?

No. 87074 = 2 × 13 × 17 × 197, so it is divisible by 2.

What are the factors of 87074?

1, 2, 13, 17, 26, 34, 197, 221, 394, 442, 2561, 3349, 5122, 6698, 43537, 87074.

What is 87074 in binary?

10101010000100010 (hexadecimal 15422, octal 252042).

What is the square root of 87074?

About 295.0830.

Is 87074 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 87074?

87074 is a Harshad number: divisible by its digit sum 26.

Find the next one

Nearby numbers

    87074: is it prime? Factors, square root, binary, Roman numeral | WordGPT