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The number 74013

74013 is a composite number with 4 divisors. Its prime factorisation is 3 × 24671. Divisors (4): 1, 3, 24671, 74013.

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How to work it out

  1. 1

    What is special about 74013: a semiprime: 3 × 24671, the product of two primes.

  2. 2

    74013 is composite. Its prime factorisation is

    74013=3×2467174013 = 3 \times 24671
  3. 3

    The divisors add up to 98688; without 74013 itself that is 24675, so 74013 is deficient (24675 is less than 74013). Euler's totient φ(74013) = 49340 numbers up to 74013 share no factor with it.

  4. 4

    The digits of 74013 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74013 = 3 \times 24671 \]

74013 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors98688
Euler totient φ(n)49340
Square5477924169
Cube405437601520197
Square root272.053304
Digit sum / digital root15 / 6
Collatz steps to 1187
Scientific notation7.4013 × 10410^{4}

74013 in other forms

FormValue
In wordsseventy-four thousand and thirteen
Binary (base 2)10010000100011101
Octal (base 8)220435
Hexadecimal (base 16)1211D
Base 310202112020
As time74013 seconds = 20 h 33 min 33 s

Is 74013 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).
3Yes (74013 ÷ 3 = 24671)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.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74013 a prime number?

No. 74013 = 3 × 24671, so it is divisible by 3.

What are the factors of 74013?

1, 3, 24671, 74013.

What is 74013 in binary?

10010000100011101 (hexadecimal 1211D, octal 220435).

What is the square root of 74013?

About 272.0533.

Is 74013 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 74013?

74013 is a semiprime: 3 × 24671, the product of two primes.

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    74013: is it prime? Factors, square root, binary, Roman numeral | WordGPT