4,871,781

3² × 541309

Starting at 4,871,781, the Collatz iteration reaches 1 after 206 steps. The first transition is 14615344; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 541309

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,037,030

Proper Divisor Sum 2,165,249

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4871773 ← → #4871819

Radix Representation

Decimal	4871781
Binary	10010100101011001100101 (23 bits)
Octal	0o22453145
Hexadecimal	0x4A5665

Divisor Catalog (6)

1 3 9 541,309 1,623,927 4,871,781

Collatz Trajectory (206 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,871,781 14,615,344 7,307,672 3,653,836 1,826,918 913,459 2,740,378 1,370,189 4,110,568 2,055,284 1,027,642 513,821 1,541,464 770,732 385,366 192,683 578,050 289,025 867,076 433,538 216,769 650,308 325,154 162,577 487,732 243,866 121,933 365,800 182,900 91,450 45,725 137,176 68,588 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904

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