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The number 72377

72377 is a composite number with 4 divisors. Its prime factorisation is 157 × 461. Divisors (4): 1, 157, 461, 72377.

Number

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How to work it out

  1. 1

    What is special about 72377: a semiprime: 157 × 461, the product of two primes.

  2. 2

    72377 is composite. Its prime factorisation is

    72377=157×46172377 = 157 \times 461
  3. 3

    The divisors add up to 72996; without 72377 itself that is 619, so 72377 is deficient (619 is less than 72377). Euler's totient φ(72377) = 71760 numbers up to 72377 share no factor with it.

  4. 4

    The digits of 72377 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 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72377 = 157 \times 461 \]

72377 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors72996
Euler totient φ(n)71760
Square5238430129
Cube379141857446633
Square root269.029738
Digit sum / digital root26 / 8
Collatz steps to 142
Scientific notation7.2377 × 10410^{4}

72377 in other forms

FormValue
In wordsseventy-two thousand three hundred and seventy-seven
Binary (base 2)10001101010111001
Octal (base 8)215271
Hexadecimal (base 16)11AB9
Base 310200021122
As time72377 seconds = 20 h 6 min 17 s

Is 72377 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.
5No (remainder 2)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 4)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 72377 a prime number?

No. 72377 = 157 × 461, so it is divisible by 157.

What are the factors of 72377?

1, 157, 461, 72377.

What is 72377 in binary?

10001101010111001 (hexadecimal 11AB9, octal 215271).

What is the square root of 72377?

About 269.0297.

Is 72377 divisible by 3?

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

What is special about the number 72377?

72377 is a semiprime: 157 × 461, the product of two primes.

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