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The number 71377

71377 is a binary palindrome (10001011011010001). Its prime factorisation is 137 × 521. Divisors (4): 1, 137, 521, 71377.

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How to work it out

  1. 1

    What is special about 71377: a binary palindrome (10001011011010001); a semiprime: 137 × 521, the product of two primes.

  2. 2

    71377 is composite. Its prime factorisation is

    71377=137×52171377 = 137 \times 521
  3. 3

    The divisors add up to 72036; without 71377 itself that is 659, so 71377 is deficient (659 is less than 71377). Euler's totient φ(71377) = 70720 numbers up to 71377 share no factor with it.

  4. 4

    The digits of 71377 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71377 = 137 \times 521 \]

71377 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors72036
Euler totient φ(n)70720
Square5094676129
Cube363642698059633
Square root267.164743
Digit sum / digital root25 / 7
Collatz steps to 199
Scientific notation7.1377 × 10410^{4}

71377 in other forms

FormValue
In wordsseventy-one thousand three hundred and seventy-seven
Binary (base 2)10001011011010001
Octal (base 8)213321
Hexadecimal (base 16)116D1
Base 310121220121
As time71377 seconds = 19 h 49 min 37 s

Is 71377 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 7)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71377 a prime number?

No. 71377 = 137 × 521, so it is divisible by 137.

What are the factors of 71377?

1, 137, 521, 71377.

What is 71377 in binary?

10001011011010001 (hexadecimal 116D1, octal 213321).

What is the square root of 71377?

About 267.1647.

Is 71377 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 71377?

71377 is a binary palindrome (10001011011010001); a semiprime: 137 × 521, the product of two primes.

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